Non-linear Finite Element Analysis of Solids and Structures Volume 2: Advanced Topics M. A. Crisfield Imperial College of Science, Technology and Medicine, London, UK In such fields as aeronautical, civil, mechanical and structural engineering, non-linear analysis techniques are becoming widely used for the solution of practical engineering problems. Taking an engineering rather than a mathematical bias, this comprehensive book builds on the fundamental ideas explained in Volume One, introducing the reader to more detailed, advanced topics. Large strains and large rotations, plasticity with a range of yield criteria and hardening rules, stability theory and advanced solution procedures including branch-switching techniques, contact and friction, and nonlinear dynamics, are covered in depth. Examples from a non-linear finite element computer program incorporating the advanced solution procedures are included. The computer program is available on the Internet via anonymous ftp, using the URL ftp://ftp.cc.ic.ac.uk/pub/depts/aero/nonlin2/.
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Taking an engineering rather than a mathematical bias, this work brings together concepts behind different branches of work on non-linear finite elements. Practically-oriented, it acknowledges the increasing role of computers in non-linear analysis by including a series of computer applications. Topics include plasticity; beams and rods in two-dimensional framework; shells; hyper-elasticity; rubber; kinematic hardening; yield criteria with volume effects; large rotations; three-dimensional beams and rods; and stability theory. Also examines advanced solution procedures for non-linear analysis such as line searchers, quasi-Newton and acceleration techniques, arc-length methods, automatic increments and re-starts.
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