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أخوانى فى الله أحضرت لكم كتاب Finite Element Method - Solid Mechanics - Zienkiewicz and Taylor
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General problems in solid mechanics and non-linearity Introduction Small deformation non-linear solid mechanics problems Non-linear quasi-harmonic field problems Some typical examples of transient non-linear calculations Concluding remarks Solution of non-linear algebraic equations Introduction Iterative techniques Inelastic and non-linear materials Introduction Viscoelasticity - history dependence of deformation Classical time-independent plasticity theory Computation of stress increments Isotropic plasticity models Generalized plasticity - non-associative case Some examples of plastic computation Basic formulation of creep problems Viscoplasticity - a generalization Some special problems of brittle materials Non-uniqueness and localization in elasto-plastic deformations Adaptive refinement and localization (slip-line) capture Non-linear quasi-harmonic field problems Plate bending approximation: thin (Kirchhoff) plates and C1 continuity requirements Introduction The plate problem: thick and thin formulations Rectangular element with corner nodes (12 degrees of freedom) Quadrilateral and parallelograpm .e..l.e..ments Triangular element with corner nodes (9 degrees of freedom) Triangular element of the simplest form (6 degrees of freedom) The patch test - an analytical re..q..u..ir..ement Numerical examples General remarks Singular shape functions for the simple triangular element An 18 degree-of-freedom triangular element with conforming shape functions Compatible quadrilateral elements Quasi-conforming elements Hermitian rectangle shape function The 21 and 18 degree-of-freedom triangle Mixed formulations - general remarks Hybrid plate elements Discrete Kirchhoff constraints Rotation-free elements Inelastic material behaviour Concluding remarks - which elements? ’Thick’ Reissner - Mindlin plates - irreducible and mixed formulations Introduction The irreducible formulation - reduced integration Mixed formulation for thick plates The patch test for plate bending elements Elements with discrete collocation constraints Elements with rotational bubble or enhanced modes Linked interpolation - an improvement of accuracy Discrete ’exact’ thin plate limit Performance of various ’thick’ plate elements - limitations of twin plate theory Forms without rotation parameters Inelastic material behaviour Concluding remarks - adaptive refinement Shells as an assembly of flat elements Introduction Stiffness of a plane element in local coordinates Transformation to global coordinates and assembly of elements Local direction cosines ’Drilling’ rotational stiffness - 6 degree-of-freedom assembly Elements with mid-side slope connections only Choice of element Practical examples Axisymmetric shells Introduction Straight element Curved elements Independent slope - displacement interpolation with penalty functions (thick or thin shell formulations) Shells as a special case of three-dimensional analysis - Reissner-Mindlin assumptions Introduction Shell element with displacement and rotation parameters Special case of axisymmetric, curved, thick shells Special case of thick plates Convergence Inelastic behaviour Some shell examples Concluding remarks Semi-analytical finite element processes - use of orthogonal functions and ’finite strip’ methods Introduction Prismatic bar Thin membrane box structures Plates and boxes and flexure Axisymmetric solids with non-symmetrical load Axisymmetric shells with non-symmetrical load Finite strip method - incomplete de..c..o..upling Concluding remarks Geometrically non-linear problems - finite deformation Introduction Governing equations. Variational description for finitite deformation A three-field mixed finite deformation forumation A mixed-enhanced finite deformation forumation Forces dependent on deformation - pressure loads Material constitution for finite deformation Contact problems Numerical examples Concluding remarks Non-linear structural problems - large displacement and instability Introduction Large displacement theory of beams Elastic stability - energy interpretation Large displacement theory of thick plates Large displacement theory of thin plates Solution of large deflection problems Shells Concluding remarks Pseudo-rigid and rigid-flexible bodies Introduction Pseudo-rigid motions Rigid motions Connecting a rigid body to a flexible body Multibody coupling by joints Numerical examples Computer procedures for finite element analysis Introduction Description of additional program features Solution of non-linear problems Restart option Solution of example problems Concluding remarks Appendix A A1 Principal invariants A2 Moment invariants A3 derivatives of invariants Author index Subject index
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رابط تنزيل كتاب Finite Element Method - Solid Mechanics - Zienkiewicz and Taylor
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محمد محمد أحمد مهندس فعال جدا جدا
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عدد المساهمات : 654 التقييم : 694 تاريخ التسجيل : 14/11/2012 العمر : 32 الدولة : EGYPT العمل : Student الجامعة : Menoufia
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عدد المساهمات : 18928 التقييم : 35294 تاريخ التسجيل : 01/07/2009 الدولة : مصر العمل : مدير منتدى هندسة الإنتاج والتصميم الميكانيكى
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