A First Introduction to the Finite Element Analysis Program MSC Marc/Mentat

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Publisher : Springer
ISBN 13 : 3319719157
Total Pages : 165 pages
Book Rating : 4.3/5 (197 download)

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Book Synopsis A First Introduction to the Finite Element Analysis Program MSC Marc/Mentat by : Andreas Öchsner

Download or read book A First Introduction to the Finite Element Analysis Program MSC Marc/Mentat written by Andreas Öchsner and published by Springer. This book was released on 2017-11-28 with total page 165 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a brief introduction to the general-purpose finite element program MSC Marc, focusing on providing simple examples, often single-element problems, which can easily be related to the theory that is discussed in finite element lectures. As such, it is an ideal companion book to classical introductory courses on the finite element method. MSC Marc is a specialized program for non-linear problems (implicit solver), which is distributed by the MSC Software Corporation and commonly used in academia and industry. The documentation of all finite element programs now includes a variety of step-by-step examples of differing complexity, and all software companies offer professional workshops on different topics. Since the first edition of the book, there have been several new releases of Marc/Mentat and numerous changes. This new edition incorporates the latest Marc/Mentat software developments and new examples.

The Finite Element Analysis Program MSC Marc/Mentat

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Publisher : Springer
ISBN 13 : 9811008213
Total Pages : 147 pages
Book Rating : 4.8/5 (11 download)

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Book Synopsis The Finite Element Analysis Program MSC Marc/Mentat by : Andreas Öchsner

Download or read book The Finite Element Analysis Program MSC Marc/Mentat written by Andreas Öchsner and published by Springer. This book was released on 2016-03-30 with total page 147 pages. Available in PDF, EPUB and Kindle. Book excerpt: Based on simple examples, this book offers a short introduction to the general-purpose finite element program MSC Marc, a specialized program for non-linear problems (implicit solver) distributed by the MSC Software Corporation, which is commonly used in academia and industry. Today the documentation of all finite element programs includes a variety of step-by-step examples of differing complexity, and in addition, all software companies offer professional workshops on different topics. As such, rather than competing with these, the book focuses on providing simple examples, often single-element problems, which can easily be related to the theory that is discussed in finite element lectures. This makes it an ideal companion book to classical introductory courses on the finite element method.

A Project-Based Introduction to Computational Statics

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Publisher : Springer Nature
ISBN 13 : 3030587711
Total Pages : 273 pages
Book Rating : 4.0/5 (35 download)

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Book Synopsis A Project-Based Introduction to Computational Statics by : Andreas Öchsner

Download or read book A Project-Based Introduction to Computational Statics written by Andreas Öchsner and published by Springer Nature. This book was released on 2020-11-13 with total page 273 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book uses a novel concept to teach the finite element method, applying it to solid mechanics. This major conceptual shift takes away lengthy theoretical derivations in the face-to-face interactions with students and focuses on the summary of key equations and concepts; and to practice these on well-chosen example problems. For this new, 2nd edition, many examples and design modifications have been added, so that the learning-by-doing features of this book make it easier to understand the concepts and put them into practice. The theoretical derivations are provided as additional reading and students must study and review the derivations in a self-study approach. The book provides the theoretical foundations to solve a comprehensive design project in tensile testing. A classical clip-on extensometer serves as the demonstrator on which to apply the provided concepts. The major goal is to derive the calibration curve based on different approaches, i.e., analytical mechanics and based on the finite element method, and to consider further design questions such as technical drawings, manufacturing, and cost assessment. Working with two concepts, i.e., analytical and computational mechanics strengthens the vertical integration of knowledge and allows the student to compare and understand the different concepts, as well as highlighting the essential need for benchmarking any numerical result.

Computational Plasticity for Finite Elements

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Publisher : Springer
ISBN 13 : 3319772066
Total Pages : 99 pages
Book Rating : 4.3/5 (197 download)

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Book Synopsis Computational Plasticity for Finite Elements by : Michael Trapp

Download or read book Computational Plasticity for Finite Elements written by Michael Trapp and published by Springer. This book was released on 2018-03-06 with total page 99 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume demonstrates the use of FORTRAN for numerical computing in the context of the finite element method. FORTRAN is still an important programming language for computational mechanics and all classical finite element codes are written in this language, some of them even offer an interface to link user-code to the main program. This feature is especially important for the development and investigation of new engineering structures or materials. Thus, this volume gives a simple introduction to programming of elasto-plastic material behavior, which is, for example, the prerequisite for implementing new constitutive laws into a commercial finite element program.

Plane Finite Elements for Two-Dimensional Problems

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Publisher : Springer Nature
ISBN 13 : 3030895505
Total Pages : 257 pages
Book Rating : 4.0/5 (38 download)

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Book Synopsis Plane Finite Elements for Two-Dimensional Problems by : Andreas Öchsner

Download or read book Plane Finite Elements for Two-Dimensional Problems written by Andreas Öchsner and published by Springer Nature. This book was released on 2022-01-01 with total page 257 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is intended as a study aid for the finite element method. Based on the free computer algebra system Maxima, we offer routines to symbolically or numerically solve problems from the context of two-dimensional problems. For this rather advanced topic, classical ‘hand calculations’ are difficult to perform and the incorporation of a computer algebra system is a convenient approach to handle, for example, larger matrix operations. The mechanical theories focus on the classical two-dimensional structural elements, i.e., plane elements, thin or classical plates, and thick or shear deformable plate elements. The use of a computer algebra system and the incorporated functions, e.g., for matrix operations, allows to focus more on the methodology of the finite element method and not on standard procedures. Furthermore, we offer a graphical user interface (GUI) to facilitate the model definition. Thus, the user may enter the required definitions in a source code manner directly in wxMaxima or use the GUI which is able to execute wxMaxime to perform the calculations.

Finite Elements for Truss and Frame Structures

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Publisher : Springer
ISBN 13 : 3319949411
Total Pages : 129 pages
Book Rating : 4.3/5 (199 download)

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Book Synopsis Finite Elements for Truss and Frame Structures by : Andreas Öchsner

Download or read book Finite Elements for Truss and Frame Structures written by Andreas Öchsner and published by Springer. This book was released on 2018-07-03 with total page 129 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is intended as an essential study aid for the finite element method. Based on the free computer algebra system Maxima, the authors offer routines for symbolically or numerically solving problems in the context of plane truss and frame structures, allowing readers to check classical ‘hand calculations’ on the one hand and to understand the computer implementation of the method on the other. The mechanical theories focus on the classical one-dimensional structural elements, i.e. bars, Euler–Bernoulli and Timoshenko beams, and their combination to generalized beam elements. Focusing on one-dimensional elements reduces the complexity of the mathematical framework, and the resulting matrix equations can be displayed with all components and not merely in the form of a symbolic representation. In addition, the use of a computer algebra system and the incorporated functions, e.g. for equation solving, allows readers to focus more on the methodology of the finite element method and not on standard procedures.

Finite Elements Using Maxima

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Publisher : Springer
ISBN 13 : 303017199X
Total Pages : 263 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis Finite Elements Using Maxima by : Andreas Öchsner

Download or read book Finite Elements Using Maxima written by Andreas Öchsner and published by Springer. This book was released on 2019-05-21 with total page 263 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a study aid on the finite element method. Based on the free computer algebra system “Maxima”, it presents routines to symbolically or numerically solve problems in the context of plane truss and frame structures. This allows readers to not only check classical “hand calculations” but also understand the computer implementation of the method. The mechanical theories focus on the classical one-dimensional structural elements, i.e. bars, Euler–Bernoulli and Timoshenko beams as well as their combination to generalized beam elements. Focusing on one-dimensional elements reduces the complexity of the mathematical framework and the resulting matrix equations can still be displayed with all components, and not only in a symbolic representation. The use of a computer algebra system and the incorporated functions, e.g. for equation solving, highlights the methodology of the finite element method rather than standard procedures. The book is based on the Springer Brief “Finite Elements for Truss and Frame Structures” (978-3-319-94940-6) by the same authors.

Computational Statics and Dynamics

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Publisher : Springer Nature
ISBN 13 : 3031096738
Total Pages : 723 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis Computational Statics and Dynamics by : Andreas Öchsner

Download or read book Computational Statics and Dynamics written by Andreas Öchsner and published by Springer Nature. This book was released on 2023-02-08 with total page 723 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the 3rd edition of an introduction to modern computational mechanics based on the finite element method. This third edition is largely extended, adding many new examples to let the reader understand the principles better by performing calculations by hand, as well as numerical example to practice the finite element approach to engineering problems. The new edition comes together with a set of digital flash cards with questions and answers that improve learning success. Featuring over 100 more pages, the new edition will help students succeed in mechanics courses by showing them how to apply the fundamental knowledge they gained in the first years of their engineering education to more advanced topics. In order to deepen readers’ understanding of the equations and theories discussed, each chapter also includes supplementary problems. These problems start with fundamental knowledge questions on the theory presented in the respective chapter, followed by calculation problems. In total, over 80 such calculation problems are provided, along with brief solutions for each. Test your knowledge with questions and answers about the book in the Springer Nature Flashcards app.

A Simplified Approach to the Classical Laminate Theory of Composite Materials

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Publisher : Springer Nature
ISBN 13 : 3031381920
Total Pages : 132 pages
Book Rating : 4.0/5 (313 download)

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Book Synopsis A Simplified Approach to the Classical Laminate Theory of Composite Materials by : Andreas Öchsner

Download or read book A Simplified Approach to the Classical Laminate Theory of Composite Materials written by Andreas Öchsner and published by Springer Nature. This book was released on 2023-09-19 with total page 132 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a systematic introduction to composite materials, which are obtained by a layer-wise stacking of one-dimensional bar/beam elements. Each layer may have different mechanical properties but each single layer is considered as isotropic. The major idea is to provide a simplified theory to easier understand the classical two-dimensional laminate theory for composites based on laminae with unidirectional fibers. In addition to the elastic behavior, failure is investigated based on the maximum stress, maximum strain, Tsai-Hill, and the Tsai-Wu criteria. Partial differential equations lay the foundation to mathematically describe the mechanical behavior of any classical structural member known in engineering mechanics, including composite materials. The so-called classical laminate theory provides a simplified stress analysis, and a subsequent failure analysis, without the solution of the system of coupled differential equations for the unknown displacements. The procedure provides the solution of a statically indeterminate system based on a generalized stress–strain relationship under consideration of the constitutive relationship and the definition of the so-called stress resultants. This laminate theory is typically provided for two-dimensional plane problems, where the basic structural element is a simple superposition of a classical plane elasticity element with a thin plate element under the consideration of an orthotropic constitutive law. This two-dimensional approach and the underlying advanced continuum mechanical modeling might be very challenging for some students, particularly at universities of applied sciences. Thus, a reduced approach, the so-called simplified classical laminate theory, has been developed. The idea is to use solely isotropic one-dimensional elements, i.e., a superposition of bar and beam elements, to introduce the major calculation steps of the classical laminate theory. Understanding this simplified theory is much easier and the final step it to highlight the differences when moving to the general two-dimensional case.

Classical Beam Theories of Structural Mechanics

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Publisher : Springer Nature
ISBN 13 : 3030760359
Total Pages : 193 pages
Book Rating : 4.0/5 (37 download)

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Book Synopsis Classical Beam Theories of Structural Mechanics by : Andreas Öchsner

Download or read book Classical Beam Theories of Structural Mechanics written by Andreas Öchsner and published by Springer Nature. This book was released on 2021-06-13 with total page 193 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a systematic and thorough overview of the classical bending members based on the theory for thin beams (shear-rigid) according to Euler-Bernoulli, and the theories for thick beams (shear-flexible) according to Timoshenko and Levinson. The understanding of basic, i.e., one-dimensional structural members, is essential in applied mechanics. A systematic and thorough introduction to the theoretical concepts for one-dimensional members keeps the requirements on engineering mathematics quite low, and allows for a simpler transfer to higher-order structural members. The new approach in this textbook is that it treats single-plane bending in the x-y plane as well in the x-z plane equivalently and applies them to the case of unsymmetrical bending. The fundamental understanding of these one-dimensional members allows a simpler understanding of thin and thick plate bending members. Partial differential equations lay the foundation to mathematically describe the mechanical behavior of all classical structural members known in engineering mechanics. Based on the three basic equations of continuum mechanics, i.e., the kinematics relationship, the constitutive law, and the equilibrium equation, these partial differential equations that describe the physical problem can be derived. Nevertheless, the fundamental knowledge from the first years of engineering education, i.e., higher mathematics, physics, materials science, applied mechanics, design, and programming skills, might be required to master this topic.

Composite Mechanics

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Publisher : Springer Nature
ISBN 13 : 3031323904
Total Pages : 214 pages
Book Rating : 4.0/5 (313 download)

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Book Synopsis Composite Mechanics by : Andreas Öchsner

Download or read book Composite Mechanics written by Andreas Öchsner and published by Springer Nature. This book was released on 2023-08-03 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book in the advanced structured materials series provides first an introduction to the mircomechanics of fiber-reinforced laminae, which deals with the prediction of the macroscopic mechanical lamina properties based on the mechanical properties of the constituents, i.e., fibers and matrix. Composite materials, especially fiber-reinforced composites, are gaining increasing importance since they can overcome the limits of many structures based on classical metals. Particularly, the combination of a matrix with fibers provides far better properties than the constituents alone. Despite their importance, many engineering degree programs do not treat the mechanical behavior of this class of advanced structured materials in detail, at least on the bachelor’s degree level. Thus, some engineers are not able to thoroughly apply and introduce these modern engineering materials in their design process. The second part of this book provides a systematic and thorough introduction to the classical laminate theory based on the theory for plane elasticity elements and classical (shear-rigid) plate elements. The focus is on unidirectional lamina which can be described based on orthotropic constitutive equations and their composition to layered laminates. In addition to the elastic behavior, failure is investigated based on the maximum stress, maximum strain, Tsai-Hill, and the Tsai-Wu criteria. The introduced classical laminate theory provides a simplified stress analysis, and a subsequent failure analysis, without the solution of the system of coupled differential equations for the unknown displacements in the three coordinate directions. The book concludes with a short introduction to a calculation program, the so-called Composite Laminate Analysis Tool (CLAT), which allows the application of the classical laminate based on a sophisticated Python script.

Foundations of Classical Laminate Theory

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Publisher : Springer Nature
ISBN 13 : 3030826317
Total Pages : 130 pages
Book Rating : 4.0/5 (38 download)

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Book Synopsis Foundations of Classical Laminate Theory by : Andreas Öchsner

Download or read book Foundations of Classical Laminate Theory written by Andreas Öchsner and published by Springer Nature. This book was released on 2021-09-28 with total page 130 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a systematic and thorough introduction to the classical laminate theory based on the theory for plane elasticity elements and classical (shear–rigid) plate elements. It focus on unidirectional lamina which can be described based on orthotropic constitutive equations and their composition to layered laminates. In addition to the elastic behavior, failure is investigated based on the maximum stress, maximum strain, Tsai–Hill and the Tsai–Wu criteria.

A Numerical Approach to the Classical Laminate Theory of Composite Materials

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Publisher : Springer Nature
ISBN 13 : 3031329759
Total Pages : 181 pages
Book Rating : 4.0/5 (313 download)

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Book Synopsis A Numerical Approach to the Classical Laminate Theory of Composite Materials by : Andreas Öchsner

Download or read book A Numerical Approach to the Classical Laminate Theory of Composite Materials written by Andreas Öchsner and published by Springer Nature. This book was released on 2023-07-07 with total page 181 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book first provides a systematic and thorough introduction to the classical laminate theory for composite materials based on the theory for plane elasticity elements and classical (shear-rigid) plate elements. The focus is on unidirectional lamina which can be described based on orthotropic constitutive equations and their composition to layered laminates. In addition to the elastic behavior, failure is investigated based on the maximum stress, maximum strain, Tsai-Hill, and the Tsai-Wu criteria. The solution of the fundamental equations of the classical laminate theory is connected with extensive matrix operations, and many problems require in addition iteration loops. Thus, a classical hand calculation of related problems is extremely time consuming. In order to facilitate the application of the classical laminate theory, we decided to provide a Python-based computational tool, the so-called Composite Laminate Analysis Tool (CLAT) to easily solve some standard questions from the context of fiber-reinforced composites. The tool runs in any standard web browser and offers a user-friendly interface with many post-processing options. The functionality comprises stress and strain analysis of lamina and laminates, derivation of off-axis elastic properties of lamina, and the failure analysis based on different criteria.

Elements of Classical Plasticity Theory

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Publisher : Springer Nature
ISBN 13 : 3031142012
Total Pages : 116 pages
Book Rating : 4.0/5 (311 download)

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Book Synopsis Elements of Classical Plasticity Theory by : Andreas Öchsner

Download or read book Elements of Classical Plasticity Theory written by Andreas Öchsner and published by Springer Nature. This book was released on 2022-11-08 with total page 116 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph provides a compact introduction into the classical, i.e. rate-independent, plasticity theory. Starting from the engineering stress-strain diagram, the concept of elastic and elasto-plastic material behavior is introduced, as well as the concept of uniaxial and multiaxial stress states. Continuum mechanical modeling in the elasto-plastic range requires, in regards to the constitutive equation, in addition to the elastic law (e.g. Hooke’s law), a yield condition, a flow rule and a hardening rule. These basic equations are thoroughly introduced and explained for one-dimensional stress states. Considering three-dimensional plasticity, different sets of stress invariants to characterize the stress matrix and the decomposition of the stress matrix in its hydrostatic and deviatoric part are introduced. Furthermore, the concept of the yield condition, flow rule and hardening rule is generalized for multiaxial stress states. Some typical yield conditions are introduced and their graphical representation in different stress spaces is discussed in detail. The book concludes with an introduction in the elasto-plastic finite element simulation of mechanical structures. In the context of numerical approximation methods, the so-called predictor-corrector methods are used to integrate the constitutive equations. This is again introduced in detail based on one-dimensional stress states and afterwards generalized to the three-dimensional case. Test your knowledge with questions and answers about the book in the Springer Nature Flashcards app.

Advances in Design Engineering II

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Publisher : Springer Nature
ISBN 13 : 3030924262
Total Pages : 455 pages
Book Rating : 4.0/5 (39 download)

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Book Synopsis Advances in Design Engineering II by : Francisco Cavas Martínez

Download or read book Advances in Design Engineering II written by Francisco Cavas Martínez and published by Springer Nature. This book was released on 2021-12-08 with total page 455 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains the papers presented at the XXX International Congress INGEGRAF, “Digital Engineering, its application in Research, Development and Innovation”, held on 24–25 June 2021 in Valencia, Spain. The book reports on cutting-edge topics in product design and manufacturing, such as industrial methods for integrated product and process design; innovative design; and computer-aided design. Further topics covered include virtual simulation and reverse engineering; additive manufacturing; product manufacturing; engineering methods in medicine and education; representation techniques; and nautical, engineering and construction, aeronautics and aerospace design and modeling. The book has six sections, reflecting the focus and primary themes of the conference. The contributions presented here will not only provide researchers, engineers, and experts in a range of industrial engineering subfields with extensive information to support their daily work; but also they are intended to stimulate new research directions, advanced applications of the methods discussed, and future interdisciplinary collaborations.

Finite Element Analysis with PATRAN / MSC NASTRAN

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Publisher :
ISBN 13 : 9781783325412
Total Pages : 248 pages
Book Rating : 4.3/5 (254 download)

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Book Synopsis Finite Element Analysis with PATRAN / MSC NASTRAN by : Pramote Dechaumphai

Download or read book Finite Element Analysis with PATRAN / MSC NASTRAN written by Pramote Dechaumphai and published by . This book was released on 2019-10-15 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is written for beginners who want to use MSC Nastran while learning the finite element method. It shows how to use Patran/MSC Nastran software to analyze different classes of solid mechanics problems, step-by-step, so that readers can follow and understand them easily. The book is suitable for designers and engineers to analyze solid mechanics problems by Nastran, apart from students and faculties.

Computer Methods in Biomechanics and Biomedical Engineering

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Publisher : CRC Press
ISBN 13 : 9782919875009
Total Pages : 582 pages
Book Rating : 4.8/5 (75 download)

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Book Synopsis Computer Methods in Biomechanics and Biomedical Engineering by : J. Middleton

Download or read book Computer Methods in Biomechanics and Biomedical Engineering written by J. Middleton and published by CRC Press. This book was released on 1996-03-18 with total page 582 pages. Available in PDF, EPUB and Kindle. Book excerpt: These papers are concerned with new advances and novel solutions in the areas of biofluids, image-guided surgery, tissue engineering and cardovascular mechanics, implant analysis, soft tissue mechanics, bone remodeling and motion analysis. The contents also feature a special section on dental materials, dental adhesives and orthodontic mechanics. This edition contains many examples, tables and figures, and together with the many references, provides the reader with invaluable information on the latest theoretical developments and applications.