Analysis Of Process Induced Distortions And Residual Stresses Of Composite Structures

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Analysis of process-induced distortions and residual stresses of composite structures

Author : Christian Brauner
Publisher : Logos Verlag Berlin GmbH
ISBN 13 : 3832535284
Total Pages : 168 pages
Book Rating : 4.8/5 (325 download)

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Book Synopsis Analysis of process-induced distortions and residual stresses of composite structures by : Christian Brauner

Download or read book Analysis of process-induced distortions and residual stresses of composite structures written by Christian Brauner and published by Logos Verlag Berlin GmbH. This book was released on 2013 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt: The increased application of composite materials in lightweight structures leads to new integral design of structural parts, using the example of, an integral composite landing flap of an Airbus A320 aircraft. This offers possibilities to simplify the process chain, to decrease manufacturing costs and to have fibre fair structural design. The critical disadvantage of large integral designs is that process-induced deformations are a risk factor during the design phase of the manufacturing process, because rework is not always possible. Especially, the aircraft industry with its demands on high qualities / tolerances and the application of hot curing resin systems, requires knowledge-based methods for virtual process design to avoid time- and effort-consuming iterations. This thesis contributes to the understanding of the mechanism behind process-induced distortions and stresses related to the Resin Transfer Moulding (RTM) manufacturing process. The aim is to comprehend the phenomena, to identify related parameters and to present compensation strategies.

Residual Stresses in Composite Materials

Author : Mahmood M. Shokrieh
Publisher : Woodhead Publishing
ISBN 13 : 0857098594
Total Pages : 407 pages
Book Rating : 4.8/5 (57 download)

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Book Synopsis Residual Stresses in Composite Materials by : Mahmood M. Shokrieh

Download or read book Residual Stresses in Composite Materials written by Mahmood M. Shokrieh and published by Woodhead Publishing. This book was released on 2014-02-14 with total page 407 pages. Available in PDF, EPUB and Kindle. Book excerpt: Residual stresses are a common phenomenon in composite materials. They can either add to or significantly reduce material strength. Because of the increasing demand for high-strength, light-weight materials such as composites and their wide range of applications in the aerospace and automotive industries, in civil infrastructure and in sporting applications, it is critical that the residual stresses of composite materials are understood and measured correctly.The first part of this important book reviews destructive and non-destructive testing (NDT) techniques for measuring residual stresses. Various mathematical (analytical and numerical) methods for calculation of residual stresses in composite materials are also presented. Chapters in the first section of the book discuss the simulated hole drilling method, the slitting/crack compliance method, measuring residual stresses in homogeneous and composite glass materials using photoelastic techniques, and modeling residual stresses in composite materials. The second part of the book discusses residual stresses in polymer matrix, metal-matrix and a range of other types of composites. Moreover, the addition of nanoparticles to the matrix of polymeric composites as a new technique for reduction of residual stresses is discussed.Residual stresses in composite materials provides a comprehensive overview of this important topic, and is an invaluable reference text for both academics and professionals working in the mechanical engineering, civil engineering, aerospace, automotive, marine and sporting industries. - Reviews destructive and non-destructive testing (NDT) techniques for measuring residual stresses - Discusses residual stresses in polymer matrix, metal-matrix and other types of composite - Considers the addition of nanoparticles to the matrix of polymeric composites as a new technique for reduction of residual stresses

Residual Stress Measurement and the Slitting Method

Author : Weili Cheng
Publisher : Springer Science & Business Media
ISBN 13 : 0387390308
Total Pages : 212 pages
Book Rating : 4.3/5 (873 download)

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Book Synopsis Residual Stress Measurement and the Slitting Method by : Weili Cheng

Download or read book Residual Stress Measurement and the Slitting Method written by Weili Cheng and published by Springer Science & Business Media. This book was released on 2007-02-24 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides complete coverage of the slitting method. It details new results in analysis, computation, and estimation and discusses different roles of residual stresses from the fracture mechanics perspective. It provides detailed formulations and examples of compliance functions, weighted least squares fit and convergence test in stress estimation, and computer programs to facilitate the implementation of the slitting method.

Introduction to Composite Materials Design, Second Edition

Author : Ever J. Barbero
Publisher : CRC Press
ISBN 13 : 1420079158
Total Pages : 564 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Introduction to Composite Materials Design, Second Edition by : Ever J. Barbero

Download or read book Introduction to Composite Materials Design, Second Edition written by Ever J. Barbero and published by CRC Press. This book was released on 2010-07-07 with total page 564 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presenting a wealth of completely revised examples and new information, Introduction to Composite Materials Design, Second Edition greatly improves on the bestselling first edition. It incorporates state-of-the-art advances in knowledge and design methods that have taken place over the last 10 years, yet maintains the distinguishing features and vital content of the original. New material in this second edition: Introduces new background topics, including design for reliability and fracture mechanics Revises and updates information on polymer matrices, modern fibers (e.g., carbon nanotubes, Basalt, Vectran) and fiber forms such as textiles/fabrics Includes new information on Vacuum Assisted Resin Transfer Molding (VARTM) Incorporates major advances in prediction of unidirectional-lamina properties Reworks sections on material failure, including the most advanced prediction and design methodologies, such as in situ strength and Mohr-Coulomb criterion, etc. Covers all aspects of preliminary design, relegating finite element analysis to a separate textbook Discusses methodology used to perform damage mechanics analysis of laminated composites accounting for the main damage modes: longitudinal tension, longitudinal compression, transverse tension, in-plane shear, and transverse compression Presents in-depth analysis of composites reinforced with plain, twill, and satin weaves, as well as with random fiber reinforcements Expands the analysis of thin walled beams with newly developed examples and MATLAB® code Addresses external strengthening of reinforced-concrete beams, columns, and structural members subjected to both axial and bending loads The author distributes 78 fully developed examples throughout the book to illustrate the application of presented analysis techniques and design methodology, making this textbook ideally suited for self-study. Requiring no more than senior undergraduate-level understanding of math and mechanics, it remains an invaluable tool for students in the engineering disciplines, as well as for self-studying, practicing engineers.

Modeling Methods for Process Induced Distortions of CFRP-Parts produced in the Prepreg-Autoclave-Process

Author : Tim Frerich
Publisher : Logos Verlag Berlin GmbH
ISBN 13 : 3832556435
Total Pages : 190 pages
Book Rating : 4.8/5 (325 download)

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Book Synopsis Modeling Methods for Process Induced Distortions of CFRP-Parts produced in the Prepreg-Autoclave-Process by : Tim Frerich

Download or read book Modeling Methods for Process Induced Distortions of CFRP-Parts produced in the Prepreg-Autoclave-Process written by Tim Frerich and published by Logos Verlag Berlin GmbH. This book was released on 2023-06-20 with total page 190 pages. Available in PDF, EPUB and Kindle. Book excerpt: Process induced distortions are a challenge in the production of high-performance components made of carbon fiber reinforced plastics. In order to prevent the distortions, a prediction is of great utility. For components manufactured in the prepreg autoclave process, which is often used in the aerospace industry, prediction methods are investigated within this work. First, the state of the art is discussed and, based on this, two promising approaches are identified, which are further investigated and implemented: A rapid simulation approach and a complex one, which requires more effort but allows further investigations of the distortions. For the latter approach, new material models and rules of mixture are developed that take into account modern material architectures with interleaf layers. Using these material models, the observed material behavior can be represented more accurately than with material models from the literature. The results obtained by both approaches are compared with experimental results. A good agreement can be shown between the measurements and the simulation.

Analysis of Composite Structures

Author : Christian Decolon
Publisher : Elsevier
ISBN 13 : 0080527175
Total Pages : 351 pages
Book Rating : 4.0/5 (85 download)

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Book Synopsis Analysis of Composite Structures by : Christian Decolon

Download or read book Analysis of Composite Structures written by Christian Decolon and published by Elsevier. This book was released on 2004-07-01 with total page 351 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides the basis for calculations of composite structures, using continuum mechanics to facilitate the treatment of more elaborate theories. A composite structure combines traditional materials (such as concrete) with new materials (such as high performance fibres) to explore and develop new structures.The author deals with individual layers in laminate composites, discussing the basic laws that govern mixtures.·Recommended for both student and professional use ·A systematic, compact presentation in a single volume·Covers the governing equations of composite beams, plates and structures

Residual Stresses in Composite Materials

Author : Mahmood M. Shokrieh
Publisher : Woodhead Publishing
ISBN 13 : 0128188189
Total Pages : 506 pages
Book Rating : 4.1/5 (281 download)

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Book Synopsis Residual Stresses in Composite Materials by : Mahmood M. Shokrieh

Download or read book Residual Stresses in Composite Materials written by Mahmood M. Shokrieh and published by Woodhead Publishing. This book was released on 2021-06-22 with total page 506 pages. Available in PDF, EPUB and Kindle. Book excerpt: The residual stress is a common phenomenon in composite materials. They can either add to or significantly reduce material strength. Because of the increasing demand for high-strength, lightweight materials such as composites and their wide range of applications; it is critical that the residual stresses of composite materials are understood and measured correctly.The first edition of this book consists of thirteen chapters divided into two parts. The first part reviews destructive and non-destructive testing (NDT) techniques for measuring residual stresses. There are also additional chapters on using mathematical (analytical and numerical) methods for the calculation of residual stresses in composite materials. These include the simulated hole drilling method, the slitting/crack compliance method, measuring residual stresses in homogeneous and composite glass materials using photoelastic techniques, and modeling residual stresses in composite materials. The second part of the book discusses measuring residual stresses in different types of composites including polymer and metal matrix composites. The addition of nanoparticles to the matrix of polymeric composites as a new technique for the reduction of residual stresses is also discussed.In the Second Edition of this book, each of the original chapters of the first edition has been fully updated, taking into account the latest research and new developments. There are also five new chapters on the theoretical and experimental studies of residual stresses in the composite integrated circuits; residual stresses in additive manufacturing of polymers and polymer matrix composites; residual stresses in metal matrix composites fabricated by additive manufacturing; the eigenstrain based method for the incremental hole-drilling technique; and the estimation of residual stresses in polymer matrix composites using the digital image correlation technique.Residual Stresses in Composite Materials, Second Edition, provides a unique and comprehensive overview of this important topic and is an invaluable reference text for both academics and professionals working in the mechanical engineering, civil engineering, aerospace, automotive, marine, and sporting industries. - Presents the latest developments on theoretical and experimental studies of residual stresses in composites - Reviews destructive and non-destructive testing (NDT) techniques for measuring residual stresses - Discusses residual stresses in the polymer matrix, metal matrix, and ceramic matrix composites - Considers the addition of nanoparticles to the matrix as a new technique for reduction of residual stresses in polymeric composites - Introduces the latest advancements of research on the residual stresses in additive-manufactured polymer and metal matrix composites

The Virtual Crack Closure Technique: History, Approach and Applications

Author : Ronald Krueger
Publisher :
ISBN 13 :
Total Pages : 66 pages
Book Rating : 4.:/5 (317 download)

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Book Synopsis The Virtual Crack Closure Technique: History, Approach and Applications by : Ronald Krueger

Download or read book The Virtual Crack Closure Technique: History, Approach and Applications written by Ronald Krueger and published by . This book was released on 2002 with total page 66 pages. Available in PDF, EPUB and Kindle. Book excerpt: An overview of the virtual crack closure technique is presented. The approach used is discussed, the history summarized, and insight into its applications provided. Equations for two-dimensional quadrilateral elements with linear and quadratic shape functions are given. Formula for applying the technique in conjuction with three-dimensional solid elements as well as plate/shell elements are also provided. Necessary modifications for the use of the method with geometrically nonlinear finite element analysis and corrections required for elements at the crack tip with different lengths and widths are discussed. The problems associated with cracks or delaminations propagating between different materials are mentioned briefly, as well as a strategy to minimize these problems. Due to an increased interest in using a fracture mechanics based approach to assess the damage tolerance of composite structures in the design phase and during certification, the engineering problems selected as examples and given as references focus on the application of the technique to components made of composite materials.

Heat Transfer in Polymer Composite Materials

Author : Nicolas Boyard
Publisher : John Wiley & Sons
ISBN 13 : 1848217617
Total Pages : 464 pages
Book Rating : 4.8/5 (482 download)

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Book Synopsis Heat Transfer in Polymer Composite Materials by : Nicolas Boyard

Download or read book Heat Transfer in Polymer Composite Materials written by Nicolas Boyard and published by John Wiley & Sons. This book was released on 2016-03-28 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book addresses general information, good practices and examples about thermo-physical properties, thermo-kinetic and thermo-mechanical couplings, instrumentation in thermal science, thermal optimization and infrared radiation.

Residual Stresses 2018

Author : Marc Seefeldt
Publisher : Materials Research Forum LLC
ISBN 13 : 1945291893
Total Pages : 310 pages
Book Rating : 4.9/5 (452 download)

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Book Synopsis Residual Stresses 2018 by : Marc Seefeldt

Download or read book Residual Stresses 2018 written by Marc Seefeldt and published by Materials Research Forum LLC. This book was released on 2018-10-10 with total page 310 pages. Available in PDF, EPUB and Kindle. Book excerpt: The European Conference on Residual Stresses (ECRS) series is the leading European forum for scientific exchange on internal and residual stresses in materials. It addresses both academic and industrial experts and covers a broad gamut of stress-related topics from instrumentation via experimental and modelling methodology up to stress problems in specific processes such as welding or shot-peening, and their impact on materials properties. Chapters: Diffraction Methods; Mechanical Relaxation Methods; Acoustic and Electromagnetic Methods; Composites, Nano and Microstructures; Films, Coatings and Oxides; Cold Working and Machining; Heat Treatments and Phase Transformations; Welding, Fatigue and Fracture: Stresses in Additive Manufacturing.

Structural and Stress Analysis

Author : T.H.G. Megson
Publisher : Elsevier
ISBN 13 : 0080455344
Total Pages : 739 pages
Book Rating : 4.0/5 (84 download)

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Book Synopsis Structural and Stress Analysis by : T.H.G. Megson

Download or read book Structural and Stress Analysis written by T.H.G. Megson and published by Elsevier. This book was released on 2005-02-17 with total page 739 pages. Available in PDF, EPUB and Kindle. Book excerpt: Structural analysis is the corner stone of civil engineering and all students must obtain a thorough understanding of the techniques available to analyse and predict stress in any structure. The new edition of this popular textbook provides the student with a comprehensive introduction to all types of structural and stress analysis, starting from an explanation of the basic principles of statics, normal and shear force and bending moments and torsion. Building on the success of the first edition, new material on structural dynamics and finite element method has been included.Virtually no prior knowledge of structures is assumed and students requiring an accessible and comprehensive insight into stress analysis will find no better book available. - Provides a comprehensive overview of the subject providing an invaluable resource to undergraduate civil engineers and others new to the subject - Includes numerous worked examples and problems to aide in the learning process and develop knowledge and skills - Ideal for classroom and training course usage providing relevant pedagogy

Metal Additive Manufacturing

Author : Dyuti Sarker
Publisher : John Wiley & Sons
ISBN 13 : 1119210836
Total Pages : 624 pages
Book Rating : 4.1/5 (192 download)

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Book Synopsis Metal Additive Manufacturing by : Dyuti Sarker

Download or read book Metal Additive Manufacturing written by Dyuti Sarker and published by John Wiley & Sons. This book was released on 2021-10-26 with total page 624 pages. Available in PDF, EPUB and Kindle. Book excerpt: METAL ADDITIVE MANUFACTURING A comprehensive review of additive manufacturing processes for metallic structures Additive Manufacturing (AM)—also commonly referred to as 3D printing—builds three-dimensional objects by adding materials layer by layer. Recent years have seen unprecedented investment in additive manufacturing research and development by governments and corporations worldwide. This technology has the potential to replace many conventional manufacturing processes, enable the development of new industry practices, and transform the entire manufacturing enterprise. Metal Additive Manufacturing provides an up-to-date review of all essential physics of metal additive manufacturing techniques with emphasis on both laser-based and non-laser-based additive manufacturing processes. This comprehensive volume covers fundamental processes and equipment, governing physics and modelling, design and topology optimization, and more. The text adresses introductory, intermediate, and advanced topics ranging from basic additive manufacturing process classification to practical and material design aspects of additive manufacturability. Written by a panel of expert authors in the field, this authoritative resource: Provides a thorough analysis of AM processes and their theoretical foundations Explains the classification, advantages, and applications of AM processes Describes the equipment required for different AM processes for metallic structures, including laser technologies, positioning devices, feeder and spreader mechanisms, and CAD software Discusses the opportunities, challenges, and current and emerging trends within the field Covers practical considerations, including design for AM, safety, quality assurance, automation, and real-time control of AM processes Includes illustrative cases studies and numerous figures and tables Featuring material drawn from the lead author’s research and professional experience on laser additive manufacturing, Metal Additive Manufacturing is an important source for manufacturing professionals, research and development engineers in the additive industry, and students and researchers involved in mechanical, mechatronics, automatic control, and materials engineering and science.

Pultrusion

Author : Ismet Baran
Publisher : Elsevier
ISBN 13 : 0323984746
Total Pages : 268 pages
Book Rating : 4.3/5 (239 download)

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Book Synopsis Pultrusion by : Ismet Baran

Download or read book Pultrusion written by Ismet Baran and published by Elsevier. This book was released on 2023-06-07 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: Pultrusion: State-of-the-Art Process Models with Applications, Second Edition is a detailed guide to pultrusion, providing methodical coverage of process models and computation simulation, governing principles and science, and key challenges to help readers enable process optimization and scale-up. This new edition has been revised and expanded to include the latest advances, state-of-the-art process models, and governing principles. The main challenges in pultrusion, such as the process induced residual stresses, shape distortions, thermal history, species conversion, phase changes, impregnation of the reinforcements and pulling force are described, with related examples are provided. Moreover, strategies for having a reliable and optimized process using probabilistic approaches and optimization algorithms are summarized. Another focus of this book is on the thermo-chemical and mechanical analyses of the pultrusion process for industrial profiles. - Provides a detailed summary and description of the practical and scientific challenges in pultrusion processes, and presents methods to overcome the challenges - Offers a comprehensive analysis of the thermokinetics, residual stresses, resistive forces, and fiber impregnation during pultrusion - Explains numerical process simulation, opening the door to reliable design and process optimization for pultrusion

Composite Materials

Author : Kamal K. Kar
Publisher : Springer
ISBN 13 : 3662495147
Total Pages : 694 pages
Book Rating : 4.6/5 (624 download)

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Book Synopsis Composite Materials by : Kamal K. Kar

Download or read book Composite Materials written by Kamal K. Kar and published by Springer. This book was released on 2016-10-14 with total page 694 pages. Available in PDF, EPUB and Kindle. Book excerpt: Composite materials are used as substitutions of metals/traditional materials in aerospace, automotive, civil, mechanical and other industries. The present book collects the current knowledge and recent developments in the characterization and application of composite materials. To this purpose the volume describes the outstanding properties of this class of advanced material which recommend it for various industrial applications.

Minimization of Welding Distortion and Buckling

Author : Pan Michaleris
Publisher : Elsevier
ISBN 13 : 0857092901
Total Pages : 319 pages
Book Rating : 4.8/5 (57 download)

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Book Synopsis Minimization of Welding Distortion and Buckling by : Pan Michaleris

Download or read book Minimization of Welding Distortion and Buckling written by Pan Michaleris and published by Elsevier. This book was released on 2011-05-25 with total page 319 pages. Available in PDF, EPUB and Kindle. Book excerpt: Welding is a cost-effective and flexible method of fabricating large structures, but drawbacks such as residual stress, distortion and buckling must be overcome in order to optimize structural performance. Minimization of welding distortion and buckling provides a systematic overview of the methods of minimizing distortion and buckling in welded structures.Following an introductory chapter, part one focuses on understanding welding stress and distortion, with chapters on such topics as computational welding mechanics, modelling the effect of phase transformations on welding stress and distortion and using computationally efficient reduced-solution methods to understand welding distortion. Part two covers different methods of minimizing welding distortion. Chapters discuss methods such as differential heating for minimizing distortion in welded stiffeners, dynamic thermal tensioning, reverse-side heating and ways of minimizing buckling such as weld cooling and hybrid laser arc welding.With its distinguished editor and international team of contributors, Minimization of welding distortion and buckling is an essential reference for all welders and engineers involved in fabrication of metal end-products, as well as those in industry and academia with a research interest in the area. - Provides a systematic overview of the methods of minimizing distortion and buckling in welded structures - Focuses on understanding welding stress and distortion featuring computational welding mechanics and modelling the effect of phase transformations - Explores different methods of minimizing welding distortion discussing differential heating and dynamic thermal tensioning

Finite Element Analysis of Structures through Unified Formulation

Author : Erasmo Carrera
Publisher : John Wiley & Sons
ISBN 13 : 1118536657
Total Pages : 569 pages
Book Rating : 4.1/5 (185 download)

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Book Synopsis Finite Element Analysis of Structures through Unified Formulation by : Erasmo Carrera

Download or read book Finite Element Analysis of Structures through Unified Formulation written by Erasmo Carrera and published by John Wiley & Sons. This book was released on 2014-07-29 with total page 569 pages. Available in PDF, EPUB and Kindle. Book excerpt: The finite element method (FEM) is a computational tool widely used to design and analyse complex structures. Currently, there are a number of different approaches to analysis using the FEM that vary according to the type of structure being analysed: beams and plates may use 1D or 2D approaches, shells and solids 2D or 3D approaches, and methods that work for one structure are typically not optimized to work for another. Finite Element Analysis of Structures Through Unified Formulation deals with the FEM used for the analysis of the mechanics of structures in the case of linear elasticity. The novelty of this book is that the finite elements (FEs) are formulated on the basis of a class of theories of structures known as the Carrera Unified Formulation (CUF). It formulates 1D, 2D and 3D FEs on the basis of the same 'fundamental nucleus' that comes from geometrical relations and Hooke's law, and presents both 1D and 2D refined FEs that only have displacement variables as in 3D elements. It also covers 1D and 2D FEs that make use of 'real' physical surfaces rather than ’artificial’ mathematical surfaces which are difficult to interface in CAD/CAE software. Key features: Covers how the refined formulation can be easily and conveniently used to analyse laminated structures, such as sandwich and composite structures, and to deal with multifield problems Shows the performance of different FE models through the 'best theory diagram' which allows different models to be compared in terms of accuracy and computational cost Introduces an axiomatic/asymptotic approach that reduces the computational cost of the structural analysis without affecting the accuracy Introduces an innovative 'component-wise' approach to deal with complex structures Accompanied by a website hosting the dedicated software package MUL2 (www.mul2.com) Finite Element Analysis of Structures Through Unified Formulation is a valuable reference for researchers and practitioners, and is also a useful source of information for graduate students in civil, mechanical and aerospace engineering.

Theory of Thermomechanical Processes in Welding

Author : Andrzej Sluzalec
Publisher : Springer Science & Business Media
ISBN 13 : 1402029918
Total Pages : 173 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Theory of Thermomechanical Processes in Welding by : Andrzej Sluzalec

Download or read book Theory of Thermomechanical Processes in Welding written by Andrzej Sluzalec and published by Springer Science & Business Media. This book was released on 2005-12-05 with total page 173 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main purpose of this book is to provide a unified and systematic continuum approach to engineers and applied physicists working on models of deformable welding material. The key concept is to consider the welding material as an thennodynamic system. Significant achievements include thermodynamics, plasticity, fluid flow and numerical methods. Having chosen point of view, this work does not intend to reunite all the information on the welding thermomechanics. The attention is focused on the deformation of welding material and its coupling with thermal effects. Welding is the process where the interrelation of temperature and deformation appears throughout the influence of thermal field on material properties and modification of the extent of plastic zones. Thermal effects can be studied with coupled or uncoupled theories of thermomechanical response. A majority of welding problems can be satisfactorily studied within an uncoupled theory. In such an approach the temperature enters the stress-strain relation through the thennal dilatation and influences the material constants. The heat conduction equation and the relations governing the stress field are considered separately. In welding a material is either in solid or in solid and liquid states. The flow of metal and solidification phenomena make the welding process very complex. The automobile, aircraft, nuclear and ship industries are experiencing a rapidly-growing need for tools to handle welding problems. The effective solutions of complex problems in welding became possible in the last two decades, because of the vigorous development of numerical methods for thermal and mechanical analysis.