Handbook of Computational Solid Mechanics

Survey and Comparison of Contemporary Methods

Häftad, Engelska, 2011

1 591 kr

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Beskrivning

The objective of this book is to thoroughly document and discuss the influence of the most important computer-oriented techniques on formulating and solving boundary-value problems typical for contemporary solid and structural mechanics.

Produktinformation

Utgivningsdatum:2011-12-14
Mått:155 x 235 x 42 mm
Vikt:1 171 g
Format:Häftad
Språk:Engelska
Antal sidor:763
Förlag:Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
ISBN:9783642803987

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Innehållsförteckning

I General Introduction.- 1 On Solving Problems of Mechanics by Computer Methods.- 2 Basic Equations of Nonlinear Solid Mechanics.- 3 On Approximate Solving Systems of Differential Equations.- References.- II Finite Element Method.- 1 Introduction.- 2 Selected Topics from the Mathematical Theory of Finite Elements.- 3 Fundamentals of nonlinear analysis.- 4 Problems of Dynamics.- 5 Space-Time Element Method.- 6 Plasticity Problems.- 7 Stability Problems and Methods of Analysis of FEM Equations.- References.- III Finite Difference Method.- 1 Introduction.- 2 The Classical FDM.- 3 Curvilinear Finite Difference Method.- 4 FD Method Generalized for Arbitrary Irregular Grids.- 5 Adaptive GFDM Approach.- 6 On Mathematical Foundations of the FDM for Elliptic Problems.- 7 Final Remarks.- References.- IV Boundary Element Method.- 1 Introduction.- 2 Mathematical Foundations.- 3 BEM in Linear Theory of Elasticity.- 4 BEM in Nonlinear Problems.- 5 BEM in Synthesis Problems.- 6 Final Remarks.- References.- V Optimization Methods.- 1 Numerical Approaches to Structural Optimization.- 2 Applications of Linear Programming.- 3 Applications of Nonlinear Programming.- 4 Discrete Programming in Structural Optimization.- References.- VI Methods of Sensitivity Analysis.- 1 Introduction.- 2 Classification of Structural Design Variables and Parameters.- 3 Fundamental Variational Theorems.- 4 Sensitivity Analysis for Varying Material Parameters.- 5 Structural Shape Variation.- 6 Sensitivity Analysis for Beam Structures.- 7 Sensitivity Analysis in Static and Dynamic Thermo-elasticity.- 8 Numerical Aspects of Sensitivity Analysis.- References.