有限元法（第2卷）

內(nèi)容概要

這是一套在國際上頗具權(quán)威性的經(jīng)典著作（共3卷），由有限元法的創(chuàng)始人Zienkiewicz教授和美國加州大學(xué)Taylor教授合作撰寫。本書初版于1967年，以后經(jīng)過多次修訂再版，深受力學(xué)界和工程界科技人員的歡迎。本套書的特點(diǎn)是理論可靠，內(nèi)容全面，既有基礎(chǔ)理論，又有其具體應(yīng)用。適用于計算力學(xué)、力學(xué)、土木、水利、機(jī)械、航天航空等領(lǐng)域的專家、教授、工程技術(shù)人員和研究生。

書籍目錄

Preface to Volume 21. General problems in solid mecbanics and non-linearity  1.1  Introduction  1.2 Small deformation nondinear solid mechanics problems  1.3  Non-linear quasi harmonic field problems  1.4 Some typical examples of tr msient non-linear calculations  1.5 Concluding remarks  References2 Solution of non-linear algebraie equations  2.1  Introduction  2.2 Iterafive techniques  References3 Inelastic and non-linear materials  3.1  Introduction  3.2 Viscoelasticity history dependence ofdeforma on  3.3 Classical timedndependent plasticity theory  3.4 Computation of stress increments  3.5 lsotropie plasticity models  3.6 Generalized plasticity non-associative case  3.7 Some examples of plastic computation  3.8 Basic formulafion of creep problems  3.9 Viscoplasticity a generalization  3.10 Some special problems of brit tie materials  3.11 Non-uniqueness and localization in elast o-plastic deformations  3.12 Adaptive refinement and localization (slip line) capture  3.13 Non-linear q uasi-hannonic field problems  References4. Plate bending approximation: thin (Kircbbofi) plates and c1 continuity requirements  4.1  Introduction  4.2  The piale problem: thick and thin formulations  4.3  Rectangular element with corner nodes (12 degrees of freedom)  4.4  Quadrilateral and parallelogram elements  4.5  Triangular element with corner nodes (9 degrees of freedom)  4.6  Triangular element of the simplest form (6 degrees of freedom)  4.7  The patch test an analytical requirement  4.8  Numerical examples  4.9  General remarks  4.10 Singular shape functions for the simple triangular element  4.11 An 18 degree of-freedom triangular element with conformingshape functions  4.12 Compatible quadrdateral element   4.13 Quasi-confoming elements  4.14 Hermitian rectangle shape function  4.15 The 21 and 18 degree-of-freedom triangle  4.16 Mixed forulations - general remarks  4.17 Hybrid plate elements  4.18 Discrte Kirchhoffconstraints  4.20 Inelastic material behaviour  4.21 Concluding remarks - which elements?  References5 'Thick' Reissner Mindlin plates - irreducible and mixed formuladons  5.1  Introduction  5.2  The irreducible formutation reduced integration  5.3  Mixed formulation for thick plates  5.4  The patch test for plate bending elements  5.5  Elements with discrete collocation constraints  5.6  Elements wilh rotational bubble or enhanced modes  5.7  Linked interpolation an improvement of accuracy  5.8  Discrete "exact' thin plate limit  5.9  Performance of various 'thick' plate elements lindtations ofthin plate theory  5.10 Forms without rotation parameters  5.11 Inelastic material behaviour  5.12 Concluding remarks adaptive refinement  References6. Shegs as an assembly of flat elements  6.1  Introduction  6.2  Stiffness of a plane element in local coordinates  6.3  Transformation to globM coordinates and assembly of elements  6.4  Local direction cosines  6.5  'Drilling' rotational stiffness 6 degree of-freedom assembly  6.6  Elements with mid-side slope connections only  6.7  Choice of element  6.8  Practical examples   References7. Axisymmetric shells8. Shells as a special case of three-dimensional analysis-Reissner-Mindlin assumptions9. Semi-analytical finite element processes-usr of orthogonal functions and 'finite strip'methods10. Geometrically non-linear problems-finite deformation11. Non-linear stuctural problems-large displacement and instability12. Pseudo-rigid and rigid-flexible bodies13. Computr procedures for finite element analysisAppendix A:Invariants of second-order tensorsAuthor index Subject index

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