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Numerical solutions of differential equations

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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 www.flagshyp.com. 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.

Materials --- Continuum mechanics --- Nonlinear mechanics --- Finite element method --- Mathematical models --- Mecànica dels medis continus. --- Mecànica no lineal --- Elements finits, Mètode dels. --- Continuum mechanics. --- Nonlinear mechanics. --- Finite element method. --- Models matemàtics --- Mathematical models. --- Materials - Mathematical models

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"Designing engineering components that make optimal use of materials requires consideration of the nonlinear static and dynamic characteristics associated with both manufacturing and working environments. The modeling of these characteristics can only be done through numerical formulation and simulation, which requires an understanding of both the theoretical background and associated computer solution techniques. The first book in the series Nonlinear Solid Mechanics for Finite Element Analysis considered static behaviour whilst this second text extends the subject to dynamics. By presenting nonlinear solid mechanics, dynamic conservation laws and principles and the associated finite element techniques together, the authors provide in this second book, a unified treatment of the dynamic simulation of nonlinear solids. Alongside a number of worked examples and exercises are user instructions, program descriptions, and examples for two MATLAB computer implementations for which source codes are available online. The dynamic version of the statics book program FLagSHyP is based on a displacement formulation and an innovative dynamic program PG DYNA LAWS is presented for the solution of problems expressed directly in the form of a system of first order conservation laws. While this book is designed to complement postgraduate courses, it is also relevant to those in industry requiring an appreciation of the way their computer simulation programs work" [Publisher]

Milieux continus, Mécanique des. --- Éléments finis, Méthode des. --- Dynamique. --- Continuum mechanics. --- Finite element method. --- Dynamics.

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Designing engineering components that make optimal use of materials requires consideration of the nonlinear static and dynamic characteristics associated with both manufacturing and working environments. The modeling of these characteristics can only be done through numerical formulation and simulation, which requires an understanding of both the theoretical background and associated computer solution techniques. By presenting both the nonlinear solid mechanics and the associated finite element techniques together, the authors provide, in the first of two books in this series, a complete, clear, and unified treatment of the static aspects of nonlinear solid mechanics. Alongside a range of worked examples and exercises are user instructions, program descriptions, and examples for the FLagSHyP MATLAB computer implementation, for which the source code is available online. While this book is designed to complement postgraduate courses, it is also relevant to those in industry requiring an appreciation of the way their computer simulation programs work.

Continuum mechanics. --- Statics. --- Finite element method.

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Now in its second English edition, Mechanics of Materials is the second volume of a three-volume textbook series on Engineering Mechanics. It was written with the intention of presenting to engineering students the basic concepts and principles of mechanics in as simple a form as the subject allows. A second objective of this book is to guide the students in their efforts to solve problems in mechanics in a systematic manner. The simple approach to the theory of mechanics allows for the different educational backgrounds of the students. Another aim of this book is to provide engineering students as well as practising engineers with a basis to help them bridge the gaps between undergraduate studies, advanced courses on mechanics and practical engineering problems. The book contains numerous examples and their solutions. Emphasis is placed upon student participation in solving the problems. The new edition is fully revised and supplemented by additional examples. The contents of the book correspond to the topics normally covered in courses on basic engineering mechanics at universities and colleges. Volume 1 deals with Statics and Volume 3 treats Particle Dynamics and Rigid Body Dynamics. Separate books with exercises and well elaborated solutions are available.

Engineering. --- Continuum mechanics. --- Mechanical engineering. --- Structural materials. --- Continuum Mechanics and Mechanics of Materials. --- Structural Materials. --- Mechanical Engineering. --- Mechanics. --- Mechanics, Applied. --- Materials. --- Solid Mechanics. --- Engineering --- Engineering materials --- Industrial materials --- Engineering design --- Manufacturing processes --- Applied mechanics --- Engineering, Mechanical --- Engineering mathematics --- Classical mechanics --- Newtonian mechanics --- Physics --- Dynamics --- Quantum theory --- Machinery --- Steam engineering --- Materials --- Mechanical properties --- Architectural materials --- Architecture --- Building --- Building supplies --- Buildings --- Construction materials --- Structural materials