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Author Bittnar, Zdeněk.

Title Numerical methods in structural mechanics / Zdeněk Bittnar, Jiří Šejnoha
Published New York : ASCE Press ; London : Thomas Telford, [1996]
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Description 1 online resource (422 pages) : illustrations
Contents ""Contents""; ""I""; ""1 Basic Notions, Equations and Principles""; ""1.1 Basic equations of elasticity""; ""1.2 Linear elastic materials""; ""1.3 Elastoplastic materials""; ""1.4 Damage theory""; ""1.5 Viscoplastic materials""; ""1.6 Principle of virtual work and variational principles""; ""1.7 Convergence criteria""; ""1.8 Variational principles in anisotropic and nonhomogeneous elasticity""; ""1.9 Variational formulation of rate boundary value problem including softening""; ""1.10 Nonlinear systems and stability criteria""; ""2 Skeletal Structures""; ""2.1 Basic relations for beams""
""2.2 Truss and beam elements""""2.3 Curved beam element""; ""2.4 Grillage element""; ""2.5 Static condensation""; ""2.6 Coordinate transformation""; ""3 Plates and Shells""; ""3.1 Basic relations for isoparametric elements""; ""3.2 Basic relations for triangular elements""; ""3.3 Tension-compression bar""; ""3.4 Thin-walled elements""; ""3.5 Elements for plane problems""; ""3.6 Plate elements""; ""3.7 Shell elements""; ""3.8 Interaction between structure and foundation""; ""3.9 Patch test""; ""4 Solids""; ""4.1 Tetrahedra""; ""4.2 Bricks""; ""4.3 Brick with rotational degrees of freedom""
""4.4 Axisymmetric continuum""""5 Linear Dynamics and Stability""; ""5.1 Basic notions and relations""; ""5.2 Methods of eigenvibration analysis""; ""5.3 Forced vibration of linear systems""; ""5.4 Response to harmonic excitation""; ""II""; ""6 Semianalytical Methods""; ""6.1 Energy-based beam analysis by Fourier series""; ""6.2 Finite strip method""; ""6.3 Curved box girders""; ""6.4 Plane strip with rotational degrees of freedom""; ""7 FE Solution of Special Problems""; ""7.1 Torsion of bars""; ""7.2 FE solution of diffusion equation""
""7.3 Deformation of soils and other porous materials""""7.4 FEM in fracture mechanics""; ""8 Boundary Element Method""; ""8.1 Somigliana's formulae""; ""8.2 Direct version of BEM""; ""8.3 Symmetric version of BEM""; ""8.4 Transformation field analysis using BEM""; ""8.5 Solution of dynamic problems by BEM""; ""8.6 Plate analysis by BEM""; ""9 Problems of Nonlinear Mechanics""; ""9.1 Notation and basic expressions for nonlinear beams""; ""9.2 Fundamentals of geometrically nonlinear continuum theory""; ""9.3 FEM discretization of geometrically nonlinear structures""
""9.4 Methods for systems of nonlinear equations""""9.5 Critical (instability) point on the loading path""; ""9.6 FEM approach problems including softening and localization""; ""9.7 Physically nonlinear and time-dependent BEM""; ""10 Adaptive FE Techniques""; ""10.1 p�version of the FEM""; ""10.2 Adaptive technique of Zienkiewicz and Zhu""; ""10.3 Artificial intelligence methods in an hp-version of the FEM""; ""10.4 Multi-grid methods for the solution of systems of linear equations""; ""11 Systems with Random Fields""; ""11.1 Random properties of a structure""
Summary A detailed presentation is offered of the fundamental equations in solid mechanics focusing on constitutive equations including quasibrittle materials. Details are provided on individual numerical algorithms, with a heavier emphasis placed on the understanding of basic principles
Bittnar and Sejnoha clearly examine the nature and theoretical basis of the most popular numerical methods in structural mechanics - the finite elementary method (FEM) and the boundary element method (BEM), while also presenting the most promising directions for future developments. Outlined are topics essential for students of elementary and intermediate courses on numerical methods in solid mechanics and an overview is given of the most vital areas of current research. The broad selection of examples illustrates various computational algorithms to compare their accuracy and efficiency, or to elucidate the mechanical processes under investigation. Traditional examples covered by standard textbooks have been deliberately omitted
Bibliography Includes bibliographical references (pages 397-407) and index
Notes Print version record
Subject Numerical analysis.
Structural analysis (Engineering)
Form Electronic book
Author Šejnoha, Jiří.
ISBN 0727748424
0784470170 (electronic bk.)
9780784470176 (electronic bk.)