This is the key text and reference for engineers, researchers and senior students dealing with the analysis and modelling of structures – from large civil engineering projects such as dams, to aircraft structures, through to small engineered components. Covering small and large deformation behaviour of solids and structures, it is an essential book for engineers and mathematicians. The new edition is a complete solids and structures text and reference in its own right and forms part of the world-renowned Finite Element Method series by Zienkiewicz and Taylor.
New material in this edition includes separate coverage of solid continua and structural theories of rods, plates and shells; extended coverage of plasticity (isotropic and anisotropic); node-to-surface and 'mortar' method treatments; problems involving solids and rigid and pseudo-rigid bodies; and multi-scale modelling.
[RESUMIDO]
1- GENERAL PROBLEMS IN SOLID MECHANICS AND NON-LINEARITY
2- GALERKIN METHOD OF APPROXIMATION - GALERKING METHOD
3- SOLUTION OF NON-LINEAR ALGEBRAIC EQUATIONS
4- INELASTIC AND NON-LINEAR MATERIALS
5- GEOMETRICALLY NON-LINEAR PROBLEMS - FINITE DEFORMATION
6- MATERIAL CONSTITUTION FOR FINITE DEFORMATION
7- TREATMENT OF CONSTRAINTS - CONTACT AND TIED INTERFACES
8- PSEUDO-RIGID AND RIGID-FLEXIBLE BODIES
9- DISCRETE ELEMENT METHODS
10- STRUCTURAL MECHANICS PROBLEMS IN ONE DIMENSION -RODS
11- PLATE BENDING APPROXIMATION: THIN (KIRCHHOFF) PLATES AND C1 CONTINUITY REQUIREMENTS
12- 'THICK' REISSNER-MINDLIN PLATES - IRREDUCIBLE AND MIXED FORMULATIONS
13- SHELLS AS AN ASSEMBLY OF FLAT ELEMENTS
14- CURVED RODS AND AXISYMMETRIC SHELLS
15- SHELLS AS A SPECIAL CASE OD THREE-DIMENSIONAL ANALYSIS - REISSNER-MINDLIN ASSUMPTIONS
16- SEMI-ANALYTICAL FINITE ELEMENT PROCESSES-USE OF ORTHOGONAL FUNCTIONS AND 'FINITE STRIP' METHODS
17- NON-LINEAR STRUCTURAL PROBLEMS -LARGE DISPLACEMENT AND INSTABILITY
18- MULTISCALE MODELLING
19- COMPUTER PROCEDURES FOR FINITE ELEMENT ANALYSIS
APPENDIX A- ISOPARAMETRIC FINITE ELEMENT APPROXIMATIOS
APPENDIX B- INVARIANTS OF SECOND-ORDER TENSORS