Nonlinear Solid Mechanics for Finite Element Analysis

Dynamics

Javier Bonet (University of Greenwich), Antonio J. Gil (Swansea University), Richard D. Wood (Swansea University)

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English

Cambridge University Press
18 March 2021

Mathematical modelling; Mechanics of solids

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 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. 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.

By: Javier Bonet (University of Greenwich), Antonio J. Gil (Swansea University), Richard D. Wood (Swansea University)
Imprint: Cambridge University Press
Country of Publication: United Kingdom
Dimensions: Height: 253mm, Width: 177mm, Spine: 24mm
Weight: 760g
ISBN: 9781107115620
ISBN 10: 1107115620
Pages: 348
Publication Date: 18 March 2021
Audience: Professional and scholarly , Undergraduate
Format: Hardback
Publisher's Status: Active

1. Introduction; 2. Dynamic analysis of 3-D trusses; 3. Dynamic equilibrium of deformable solids; 4. Discretization and solution; 5. Conservation laws in solid dynamics; 6. Thermodynamics; 7. Space and time discretization of conservation laws in solid dynamics; 8. Computer implementation for displacement-based dynamics; 9. Computational implementation for conservation-law-based explicit fast dynamics; Appendix. Shocks; Bibliography; Index.

Javier Bonet is a Professor of Engineering, currently Deputy Vice-chancellor for Research and Enterprise at the University of Greenwich and formerly Head of the College of Engineering at Swansea University. He has extensive experience of teaching topics in structural mechanics and dynamics, including large strain nonlinear solid mechanics, to undergraduate and graduate engineering students. He has been active in research in the area of computational mechanics for over 30 years with contributions in modeling superplastic forming, large strain solid dynamic analysis, membrane modeling, finite element technology including error estimation and meshless methods (smooth particle hydrodynamics). He has given invited, keynote, and plenary lectures on these topics at numerous international conferences. Antonio J. Gil is a Professor of Engineering in the Zienkiewicz Centre for Computational Engineering at Swansea University. He has numerous publications in various areas of computational mechanics, with specific experience in the field of large strain nonlinear mechanics. His work covers the computational simulation of nanomembranes, biomembranes (heart valves), and superplastic forming of medical prostheses, modeling of smart electro-magneto-mechanical devices, and numerical analysis of fast transient dynamical phenomena. He has received a number of prizes for his contributions to the field of computational mechanics, including The UK Philip Leverhulme Prize and The O.C. Zienkiewicz Prize awarded by the European Community on Computational Methods in Applied Sciences. Richard D. Wood is an Honorary Research Fellow in the Zienkiewicz Centre for Computational Engineering at Swansea University. He has over 20 years' experience of teaching the course “Nonlinear Solid Mechanics for Finite Element Analysis” at Swansea University, which he originally developed at the University of Arizona. He has also taught at IIT Roorkee, India and the Institute of Structural Engineering at the Technical University in Graz. Dr. Wood's academic career concentrated on finite element analysis, and he has written numerous papers in international journals, and many chapter contributions, on topics related to nonlinear finite element analysis. More recently, his interest has focused on croquet.

Reviews for Nonlinear Solid Mechanics for Finite Element Analysis: Dynamics

'… the software can be useful to readers in testing different options of the codes, building their own simple examples, and acquiring some additional experience and knowledge about continuum mechanics and numerical methods for their simulations.' Josip Tambaca, Society for Industrial and Applied Mathematics Review