nonlinear solid mechanics theoretical formulations and finite element solution methods 160 solid mechanics and its applications

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Nonlinear Solid Mechanics

Author : Adnan Ibrahimbegovic
ISBN : 9789048123308
Genre : Computers
File Size : 38. 12 MB
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This book offers a recipe for constructing the numerical models for representing the complex nonlinear behavior of structures and their components, represented as deformable solid bodies. Its appeal extends to those interested in linear problems of mechanics.

Finite Element Procedures

Author : Klaus-Jürgen Bathe
ISBN : 097900490X
Genre : Engineering mathematics
File Size : 67. 26 MB
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Nonlinear Continuum Mechanics For Finite Element Analysis

Author : Javier Bonet
ISBN : 1139467549
Genre : Science
File Size : 47. 79 MB
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Designing engineering components that make optimal use of materials requires consideration of the nonlinear characteristics associated with both manufacturing and working environments. The modeling of these characteristics can only be done through numerical formulation and simulation, and this requires an understanding of both the theoretical background and associated computer solution techniques. By presenting both nonlinear continuum analysis and associated finite element techniques under one roof, Bonet and Wood provide, in this edition of this successful text, a complete, clear, and unified treatment of these important subjects. New chapters dealing with hyperelastic plastic behavior are included, and the authors have thoroughly updated the FLagSHyP program, freely accessible at Worked examples and exercises complete each chapter, making the text an essential resource for postgraduates studying nonlinear continuum mechanics. It is also ideal for those in industry requiring an appreciation of the way in which their computer simulation programs work.

Numerical Methods In Structural Mechanics

Author : Zdeněk Bittnar
ISBN : 0727725556
Genre : Numerical analysis
File Size : 61. 93 MB
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Fast development of numerical methods in mechanics has been attracting an increasing number of students, researchers and design specialists from all branches of engineering. This book has been written to provide an understanding of the nature and the theoretical basis of the most widely used numerical methods - the finite element method (FEM) and the boundary element method (BEM), and, at the same time it outlines the most promising directions of their future development. The book concentrates on the most efficient and reliable methods which have become widely adopted, and on the methods which are currently under fast development. It contains numerous examples which either illustrate various computational algorithms and compare their accuracy and efficiency, or elucidate the mechanical process under investigation.

Thermal Stresses Iv

Author : R.B. Hetnarski
ISBN : 0080542816
Genre : Science
File Size : 42. 60 MB
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This is the fourth volume of the handbook Thermal Stresses. Following the principles established when the first volume was published in 1986, the fourth volume consists of six separate chapters prepared by specialists in the field. Each chapter is devoted to a different topic in the area of Thermal Stresses. Many results have been published for the first time in Thermal Stresses IV. The exposition of the material is on the state-of-the art level, which should be appropriate for graduate students, researchers, and engineers specializing in the field of stress analysis. In most cases the material is presented with some historical perspective. A large number of references provided will allow the readers to augment their knowledge, after studying a particular chapter.

Introduction To The Explicit Finite Element Method For Nonlinear Transient Dynamics

Author : Shen R. Wu
ISBN : 9781118382073
Genre : Mathematics
File Size : 39. 70 MB
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A systematic introduction to the theories and formulations of the explicit finite element method As numerical technology continues to grow and evolve with industrial applications, understanding the explicit finite element method has become increasingly important, particularly in the areas of crashworthiness, metal forming, and impact engineering. Introduction to the Explicit Finite Element Method for Nonlinear Transient Dynamics is the first book to address specifically what is now accepted as the most successful numerical tool for nonlinear transient dynamics. The book aids readers in mastering the explicit finite element method and programming code without requiring extensive background knowledge of the general finite element. The authors present topics relating to the variational principle, numerical procedure, mechanical formulation, and fundamental achievements of the convergence theory. In addition, key topics and techniques are provided in four clearly organized sections: • Fundamentals explores a framework of the explicit finite element method for nonlinear transient dynamics and highlights achievements related to the convergence theory • Element Technology discusses four-node, three-node, eight-node, and two-node element theories • Material Models outlines models of plasticity and other nonlinear materials as well as the mechanics model of ductile damage • Contact and Constraint Conditions covers subjects related to three-dimensional surface contact, with examples solved analytically, as well as discussions on kinematic constraint conditions Throughout the book, vivid figures illustrate the ideas and key features of the explicit finite element method. Examples clearly present results, featuring both theoretical assessments and industrial applications. Introduction to the Explicit Finite Element Method for Nonlinear Transient Dynamics is an ideal book for both engineers who require more theoretical discussions and for theoreticians searching for interesting and challenging research topics. The book also serves as an excellent resource for courses on applied mathematics, applied mechanics, and numerical methods at the graduate level.

Nonlinear Finite Element Methods

Author : Peter Wriggers
ISBN : 9783540710011
Genre : Mathematics
File Size : 45. 77 MB
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Finite element methods have become ever more important to engineers as tools for design and optimization, now even for solving non-linear technological problems. However, several aspects must be considered for finite-element simulations which are specific for non-linear problems: These problems require the knowledge and the understanding of theoretical foundations and their finite-element discretization as well as algorithms for solving the non-linear equations. This book provides the reader with the required knowledge covering the complete field of finite element analyses in solid mechanics. It is written for advanced students in engineering fields but serves also as an introduction into non-linear simulation for the practising engineer.

Plate And Shell Structures

Author : Maria Radwańska
ISBN : 9781118934548
Genre : Technology & Engineering
File Size : 74. 77 MB
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Plate and Shell Structures: Selected Analytical and Finite Element Solutions Maria Radwa?ska, Anna Stankiewicz, Adam Wosatko, Jerzy Pamin Cracow University of Technology, Poland Comprehensively covers the fundamental theory and analytical and numerical solutions for different types of plate and shell structures Plate and Shell Structures: Selected Analytical and Finite Element Solutions not only provides the theoretical formulation of fundamental problems of mechanics of plates and shells, but also several examples of analytical and numerical solutions for different types of shell structures. The book contains advanced aspects related to stability analysis and a brief description of modern finite element formulations for plates and shells, including the discussion of mixed/hybrid models and locking phenomena. Key features: 52 example problems solved and illustrated by more than 200 figures, including 30 plots of finite element simulation results. Contents based on many years of research and teaching the mechanics of plates and shells to students of civil engineering and professional engineers. Provides the basis of an intermediate-level course on computational mechanics of shell structures. The book is essential reading for engineering students, university teachers, practitioners and researchers interested in the mechanics of plates and shells, as well as developers testing new simulation software.

Computational Contact Mechanics

Author : Peter Wriggers
ISBN : 3211772987
Genre : Technology & Engineering
File Size : 66. 2 MB
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Topics of this book span the range from spatial and temporal discretization techniques for contact and impact problems with small and finite deformations over investigations on the reliability of micromechanical contact models over emerging techniques for rolling contact mechanics to homogenization methods and multi-scale approaches in contact problems.

Computational Fluid Structure Interaction

Author : Yuri Bazilevs
ISBN : 9781118483572
Genre : Technology & Engineering
File Size : 63. 10 MB
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Computational Fluid-Structure Interaction: Methods and Applications takes the reader from the fundamentals of computational fluid and solid mechanics to the state-of-the-art in computational FSI methods, special FSI techniques, and solution of real-world problems. Leading experts in the field present the material using a unique approach that combines advanced methods, special techniques, and challenging applications. This book begins with the differential equations governing the fluid and solid mechanics, coupling conditions at the fluid–solid interface, and the basics of the finite element method. It continues with the ALE and space–time FSI methods, spatial discretization and time integration strategies for the coupled FSI equations, solution techniques for the fully-discretized coupled equations, and advanced FSI and space–time methods. It ends with special FSI techniques targeting cardiovascular FSI, parachute FSI, and wind-turbine aerodynamics and FSI. Key features: First book to address the state-of-the-art in computational FSI Combines the fundamentals of computational fluid and solid mechanics, the state-of-the-art in FSI methods, and special FSI techniques targeting challenging classes of real-world problems Covers modern computational mechanics techniques, including stabilized, variational multiscale, and space–time methods, isogeometric analysis, and advanced FSI coupling methods Is in full color, with diagrams illustrating the fundamental concepts and advanced methods and with insightful visualization illustrating the complexities of the problems that can be solved with the FSI methods covered in the book. Authors are award winning, leading global experts in computational FSI, who are known for solving some of the most challenging FSI problems Computational Fluid-Structure Interaction: Methods and Applications is a comprehensive reference for researchers and practicing engineers who would like to advance their existing knowledge on these subjects. It is also an ideal text for graduate and senior-level undergraduate courses in computational fluid mechanics and computational FSI.

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