Zienkiewicz, O. C.

The finite element method / O. C. Zienkiewicz. - 3rd expanded and rev. ed. - London ; New York : McGraw Hill, 1989. - xv, 787 p. : ill. ; 24 cm.

First ed. (1967) published under title: The finite element method in structural and continuum mechanics; 2nd ed. (1971) published under title: The finite element method in engineering science.

Includes bibliographical references and indexes.

Some preliminaries: the standard discrete system -- Finite elements of an elastic continuum - displacement approach -- Generalization of the finite element concepts - weighted residual and variational approaches -- Plane stress and plane strain -- Axi-symmetric stress analysis -- Three-dimensional stress analysis -- Element shape functions - some general families of Co continuity -- Curved, isoparametric elements and numerical integration -- Some applications of isoparametric elements in two- and three-dimensional stress analysis -- Bending of thin plates - A C1-continuity problem -- Non-conforming elements; substitute shape functions; 'reduced' integration and similar useful tricks -- Lagrangian constraints in energy principles of elasticity. 'complete field' and 'interface variables' (hybrid methods) -- Shells as an assembly of elements -- Axi-symmetric shells -- Semi-analytical finite element processes - use of orthogonal functions -- Shells as a special case of three-dimensional analysis -- Steady-state field problems - heat conduction, electric and magnetic potential, fluid flow etc. -- Non-linear material problems, plasticity, creep (visco-plasticity) non-linear field problems etc. -- Geometrically non-linear problems: large displacement and structural instability -- The time dimension, semi-discretization of field and dynamic problems and analytical solution procedures -- The time dimension: finite element approximation to intial value-transient problems -- Flow of viscous fluids: some special problems of convective transport -- 'Boundary solution' processes and the finite element method infinite domains; singularity in fracture mechanics -- Computer procedures for finite element analysis.

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Structural analysis (Engineering)
Finite element method.
Continuum mechanics.

620.001