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Element Library For Three Dimensional Stress Analysis By The Integrated Force Method
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Author :National Aeronautics and Space Administration (NASA) Publisher :Createspace Independent Publishing Platform ISBN 13 :9781722200510 Total Pages :26 pages Book Rating :4.2/5 (5 download)
Book Synopsis Element Library for Three-Dimensional Stress Analysis by the Integrated Force Method by : National Aeronautics and Space Administration (NASA)
Download or read book Element Library for Three-Dimensional Stress Analysis by the Integrated Force Method written by National Aeronautics and Space Administration (NASA) and published by Createspace Independent Publishing Platform. This book was released on 2018-07-02 with total page 26 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Integrated Force Method, a recently developed method for analyzing structures, is extended in this paper to three-dimensional structural analysis. First, a general formulation is developed to generate the stress interpolation matrix in terms of complete polynomials of the required order. The formulation is based on definitions of the stress tensor components in term of stress functions. The stress functions are written as complete polynomials and substituted into expressions for stress components. Then elimination of the dependent coefficients leaves the stress components expressed as complete polynomials whose coefficients are defined as generalized independent forces. Such derived components of the stress tensor identically satisfy homogenous Navier equations of equilibrium. The resulting element matrices are invariant with respect to coordinate transformation and are free of spurious zero-energy modes. The formulation provides a rational way to calculate the exact number of independent forces necessary to arrive at an approximation of the required order for complete polynomials. The influence of reducing the number of independent forces on the accuracy of the response is also analyzed. The stress fields derived are used to develop a comprehensive finite element library for three-dimensional structural analysis by the Integrated Force Method. Both tetrahedral- and hexahedral-shaped elements capable of modeling arbitrary geometric configurations are developed. A number of examples with known analytical solutions are solved by using the developments presented herein. The results are in good agreement with the analytical solutions. The responses obtained with the Integrated Force Method are also compared with those generated by the standard displacement method. In most cases, the performance of the Integrated Force Method is better overall. Kaljevic, Igor and Patnaik, Surya N. and Hopkins, Dale A. Glenn Research Center RTOP 505-63-5B...
Book Synopsis Element Library for Three-dimensional Stress Analysis by the Integrated Force Method by : Igor Kaljević
Download or read book Element Library for Three-dimensional Stress Analysis by the Integrated Force Method written by Igor Kaljević and published by . This book was released on 1996 with total page 22 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Element Library for Three-Dimensional Stress Analysis by the Integrated Force Method by : Igor Kaljevic
Download or read book Element Library for Three-Dimensional Stress Analysis by the Integrated Force Method written by Igor Kaljevic and published by . This book was released on 1996 with total page 38 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Advanced Mechanics of Solids by : Lester W. Schmerr
Download or read book Advanced Mechanics of Solids written by Lester W. Schmerr and published by Cambridge University Press. This book was released on 2021-02-18 with total page 581 pages. Available in PDF, EPUB and Kindle. Book excerpt: Build on elementary mechanics of materials texts with this treatment of the analysis of stresses and strains in elastic bodies.
Book Synopsis Development of Finite Elements for Two-Dimensional Structural Analysis Using the Integrated Force Method by : Igor Kaljevic
Download or read book Development of Finite Elements for Two-Dimensional Structural Analysis Using the Integrated Force Method written by Igor Kaljevic and published by . This book was released on 1996 with total page 28 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :National Aeronautics and Space Adm Nasa Publisher :Independently Published ISBN 13 :9781792673627 Total Pages :40 pages Book Rating :4.6/5 (736 download)
Book Synopsis Development of Finite Elements for Two-Dimensional Structural Analysis Using the Integrated Force Method by : National Aeronautics and Space Adm Nasa
Download or read book Development of Finite Elements for Two-Dimensional Structural Analysis Using the Integrated Force Method written by National Aeronautics and Space Adm Nasa and published by Independently Published. This book was released on 2018-12-31 with total page 40 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Integrated Force Method has been developed in recent years for the analysis of structural mechanics problems. This method treats all independent internal forces as unknown variables that can be calculated by simultaneously imposing equations of equilibrium and compatibility conditions. In this paper a finite element library for analyzing two-dimensional problems by the Integrated Force Method is presented. Triangular- and quadrilateral-shaped elements capable of modeling arbitrary domain configurations are presented. The element equilibrium and flexibility matrices are derived by discretizing the expressions for potential and complementary energies, respectively. The displacement and stress fields within the finite elements are independently approximated. The displacement field is interpolated as it is in the standard displacement method, and the stress field is approximated by using complete polynomials of the correct order. A procedure that uses the definitions of stress components in terms of an Airy stress function is developed to derive the stress interpolation polynomials. Such derived stress fields identically satisfy the equations of equilibrium. Moreover, the resulting element matrices are insensitive to the orientation of local coordinate systems. A method is devised to calculate the number of rigid body modes, and the present elements are shown to be free of spurious zero-energy modes. A number of example problems are solved by using the present library, and the results are compared with corresponding analytical solutions and with results from the standard displacement finite element method. The Integrated Force Method not only gives results that agree well with analytical and displacement method results but also outperforms the displacement method in stress calculations. Kaljevic, Igor and Patnaik, Surya N. and Hopkins, Dale A. Glenn Research Center NASA-TM-4655, E-9240, NAS 1.15:4655 RTOP 505-63-53...
Book Synopsis Dynamic Analysis With Stress Mode Animation by the Integrated Force Method by : Surya N. Patnaik
Download or read book Dynamic Analysis With Stress Mode Animation by the Integrated Force Method written by Surya N. Patnaik and published by . This book was released on 1997 with total page 24 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Computational Methods in Nonlinear Structural and Solid Mechanics by : Ahmed K. Noor
Download or read book Computational Methods in Nonlinear Structural and Solid Mechanics written by Ahmed K. Noor and published by Elsevier. This book was released on 2014-05-20 with total page 472 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computational Methods in Nonlinear Structural and Solid Mechanics covers the proceedings of the Symposium on Computational Methods in Nonlinear Structural and Solid Mechanics. The book covers the development of efficient discretization approaches; advanced numerical methods; improved programming techniques; and applications of these developments to nonlinear analysis of structures and solids. The chapters of the text are organized into 10 parts according to the issue they tackle. The first part deals with nonlinear mathematical theories and formulation aspects, while the second part covers computational strategies for nonlinear programs. Part 3 deals with time integration and numerical solution of nonlinear algebraic equations, while Part 4 discusses material characterization and nonlinear fracture mechanics, and Part 5 tackles nonlinear interaction problems. The sixth part discusses seismic response and nonlinear analysis of concrete structure, and the seventh part tackles nonlinear problems for nuclear reactors. Part 8 covers crash dynamics and impact problems, while Part 9 deals with nonlinear problems of fibrous composites and advanced nonlinear applications. The last part discusses computerized symbolic manipulation and nonlinear analysis software systems. The book will be of great interest to numerical analysts, computer scientists, structural engineers, and other professionals concerned with nonlinear structural and solid mechanics.
Book Synopsis Stress Analysis by Boundary Element Methods by : J. Balaš
Download or read book Stress Analysis by Boundary Element Methods written by J. Balaš and published by Elsevier. This book was released on 2013-10-22 with total page 699 pages. Available in PDF, EPUB and Kindle. Book excerpt: The boundary element method is an extremely versatile and powerful tool of computational mechanics which has already become a popular alternative to the well established finite element method. This book presents a comprehensive and up-to-date treatise on the boundary element method (BEM) in its applications to various fields of continuum mechanics such as: elastostatics, elastodynamics, thermoelasticity, micropolar elasticity, elastoplasticity, viscoelasticity, theory of plates and stress analysis by hybrid methods. The fundamental solution of governing differential equations, integral representations of the displacement and temperature fields, regularized integral representations of the stress field and heat flux, boundary integral equations and boundary integro-differential equations are derived. Besides the mathematical foundations of the boundary integral method, the book deals with practical applications of this method. Most of the applications concentrate mainly on the computational problems of fracture mechanics. The method has been found to be very efficient in stress-intensity factor computations. Also included are developments made by the authors in the boundary integral formulation of thermoelasticity, micropolar elasticity, viscoelasticity, plate theory, hybrid method in elasticity and solution of crack problems. The solution of boundary-value problems of thermoelasticity and micropolar thermoelasticity is formulated for the first time as the solution of pure boundary problems. A new unified formulation of general crack problems is presented by integro-differential equations.
Download or read book Applied Mechanics Reviews written by and published by . This book was released on 1969 with total page 1090 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Three Dimensional Grain Stress Analysis Using the Finite Element Method by : William A. Cook
Download or read book Three Dimensional Grain Stress Analysis Using the Finite Element Method written by William A. Cook and published by . This book was released on 1971 with total page 59 pages. Available in PDF, EPUB and Kindle. Book excerpt: The report presents the theory used in the finite element 3D Grain Stress Analysis Computer Program. In particular, there is a discussion of the nodal point grid generators that are a part of the computer program. Also, the type of elements used and the derivation of the equations used for the stiffness matrix calculation are discussed. An extrapolation technique for calculating strains and stresses at the boundary is presented, and the successful use of the computer program for analyzing a production motor is illustrated. (Author).
Book Synopsis Understanding Finite Element Stress Analysis by : John Robinson
Download or read book Understanding Finite Element Stress Analysis written by John Robinson and published by . This book was released on 1981 with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Government Reports Announcements & Index by :
Download or read book Government Reports Announcements & Index written by and published by . This book was released on 1996 with total page 650 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Structural Analysis Systems by : A. Niku-Lari
Download or read book Structural Analysis Systems written by A. Niku-Lari and published by Elsevier. This book was released on 2014-05-17 with total page 323 pages. Available in PDF, EPUB and Kindle. Book excerpt: Structural Analysis Systems: Software—Hardware Capability—Compatibility—Applications, Volume 1 is a practical guidebook on structural analysis systems and their applications. It provides detailed information about a specific software, its postprocessor capabilities and limitations, computer-aided design connection, and compatibility with the most common computers. Several practical examples from industry with computer and user cost are given. This volume consists of 22 chapters and begins with a brief description of the ADINA 84 system and its finite elements, material models, and solution capabilities. The discussion then turns to the analysis interpretive treatise and its database concept; the ANSYS program for engineering analysis; and the structural analysis capabilities of the boundary element analysis system BEASY. The following chapters explore other structural analysis programs such as DEFOR, FLASH, KYOKAI, PAFEC, and PANDA. General purpose finite element and boundary element computer programs for structural and solid mechanics applications are also described. This book will be a valuable resource for practitioners in scientific and industrial disciplines such as mechanical or civil engineering, informatics, applied mathematics, and computer science.
Download or read book NASA Technical Memorandum written by and published by . This book was released on 1994 with total page 36 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Scientific and Technical Aerospace Reports by :
Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1995 with total page 704 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Three-Dimensional Grain Stress Analysis Based on the Boundary Integral Equation Method. Volume II. User's Manual by : Alexander L. Deak
Download or read book Three-Dimensional Grain Stress Analysis Based on the Boundary Integral Equation Method. Volume II. User's Manual written by Alexander L. Deak and published by . This book was released on 1975 with total page 126 pages. Available in PDF, EPUB and Kindle. Book excerpt: This report presents the theory of the three-dimensional grain stress analysis program based on the boundary integral equation method, which is based on a surface integral representation of the theory of elasticity for isotropic and linearly elastic solids. The boundary integral equation method is also extended to include body forces which are derivable from a potential function. Particular boundary solutions are generated within the strain potential approach which are combined with the prescribed boundary conditions to define a homogeneous problem. This problem is then solved by the boundary integral equation method. Cyclic symmetry considerations are also included in the analysis. The numerical results are compared with those of the finite element analysis for typical solid propellant grain configurations. Volume 2 is the user's manual.
