The Finite Element Method for Solid and Structural Mechanics

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.

• Dedicated coverage of solid and structural mechanics by world-renowned authors, Zienkiewicz and Taylor
• New material including separate coverage of solid continua and structural theories of rods, plates and shells; extended coverage for small and finite deformation; elastic and inelastic material constitution; contact modelling; problems involving solids, rigid and discrete elements; and multi-scale modelling

Practicing engineers, senior students, researchers and in mechanical, automotive, aeronautical and civil engineering. Key topic for applied mathematicians and engineering software developers.

General Problems in solid mechanics and non-linearity; Galerkin method of approximation - irreducible and mixed forms; Solution of non-linear algebraic equations; Inelastic and non-linear materials; Geometrically non-linear problems - finite deformation; Material constitution for finite deformation; Treatment of Constraints - contact and tied interfaces; Pseudo-Rigid & Rigid-Flexible Bodies; Discrete element methods; Structural Mechanics Problems in One Dimension - rods; Plate Bending Approximation; Thick Reissner-Mindlin Plates -Irreducible & Mixed Formulations; Shells as an assembly of flat elements; Curved rods and axisymmetric shells; Shells as a special case of three-dimensional analysis; Semi-analytical finite element processes; Non-linear structural processes - large displacement and instability; Multiscale modelling; Computer procedures for finite element analysis; Appendices