Programming the Boundary Element Method An Introduction for Engineers

Name: Programming the Boundary Element Method An Introduction for Engineers
Price: 17.24 USD
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ISBN: 9780471863335

ISBN-10: 0471863335

ISBN-13: 9780471863335

Edition: 2001

Authors: Gernot Beer

List price: $83.95

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This work focuses on explanations of the Boundary Element Method from an engineering perspective rather than a mathematical one. It also shows that programming the BEM need not be complicated when using a modern programming language such as FORTRAN 95.

Book details

List price: $83.95
Copyright year: 2001
Publisher: John Wiley & Sons, Incorporated
Publication date: 4/25/2001
Binding: Paperback
Pages: 480
Size: 6.63" wide x 9.74" long x 0.92" tall
Weight: 1.870
Language: English



Preface


Acknowledgements



Preliminaries



Introduction



Overview of book



Mathematical preliminaries



Vector algebra



Stress and strain



Conclusions



References



Programming



Strategies



FORTRAN 90/95 features



Representation of numbers



Arrays



Array operations



Control



Subroutines and functions



Subprogram libraries and common variables



Charts and pseudo-code



Pre- and postprocessing



Conclusions



Exercises



References



Discretisation and interpolation



Introduction



One-dimensional elements



Two-dimensional elements



Elements of infinite extent



Subroutines for shape function



Description of physical quantities



Coordinate transformation



Differential geometry



Integration over elements



Numerical integration



Program 3.1: Calculation of surface area



Conclusions



Exercises



References



Material modelling and fundamental solutions



Introduction



Steady state potential problems



Static elasticity problems



Constitutive equations



Fundamental solutions



Conclusions



References



Boundary integral equations



Introduction



Trefftz method



Program 5.1: Flow around cylinder, Trefftz method



Sample input and output



Direct method



Theorem of Betti and integral equations



Limiting values of integrals as P coincides with Q



Solution of integral equations



Computation of results inside the domain



Program 5.2: Flow around cylinder, direct method



Sample input and output



Conclusions



Exercises



References



Boundary element methods - numerical implementation



Introduction



Discretisation and isoparametric elements



Integration of kernel shape function products



Singular integrals and rigid body motions



Numerical integration



Numerical integration over one-dimensional elements



Numerical integration for two-dimensional elements



Conclusions



Exercises



References



Assembly and solution



Introduction



Assembly of system of equations



Symmetry



Subroutine MIRROR



Subroutine ASSEMBLY



Solution of system of equations



Gauss elimination



Conjugate gradient solver



Scaling



Program 7.1: General purpose program, direct method, one region



User's manual



Sample input file



Conclusions



Exercises



References



Postprocessing



Introduction



Computation of boundary results



Potential problems



Elasticity problems



Computation of internal results



Potential problems



Elasticity problems



Program 8.1: Postprocessor



Input specification



Conclusions



Exercises



References



Test examples



Introduction



Cantilever beam



Problem statement



Boundary element discretisation and input



Results



Comparison with FEM



Conclusions



Circular excavation in infinite domain



Problem statement



Boundary element discretisation and input



Results



Comparison with FEM



Conclusions



Square excavation in infinite elastic space



Problem statement



Boundary element discretisation and input



'Quarter point' elements



Comparison with finite elements



Conclusions



Spherical excavation



Problem statement



Boundary element discretisation and input



Results



Comparison with FEM



Conclusions



References



Multiple regions



Introduction



Multi-region assembly



Stiffness matrix assembly



Partially coupled problems



Example



Computer implementation



Subroutine stiffness_BEM



Program 10.1: General purpose program, direct method, multiple regions



User's manual



Sample problem



Conclusions



References



Edges and corners



Introduction



Potential problems



Two-dimensional elasticity



Region assembly with corners



Three-dimensional elasticity



Implementation



Subroutine for detecting corners



Subroutine for computing auxiliary equation coefficients



Conclusions



References



Body Forces



Introduction



Gravity



Postprocessing



Initial strains



Volume cells



Numerical evaluation of volume integrals



Postprocessing



Initial stresses



Numerical evaluation of volume integrals



Postprocessing



Implementation



Example



Conclusions



References



Non-linear problems



Introduction



General solution procedure



Plasticity



Elastoplasticity



Viscoplasticity



Method of solution



Evaluation of singular integrals



Computation of internal stresses



Example



Contact problems



Method of analysis



Solution procedure



Example of application



Conclusions



References



Coupled boundary element/finite element analysis



Introduction



Coupling theory



Coupling to finite elements



Coupling to boundary elements



Examples



Conclusion



References



Industrial applications



Introduction



Mechanical engineering



A cracked extrusion press causes concern



Geotechnical engineering



Instability of slope threatens village



Analysis of tunnel advance in anisotropic rock



Tunnel approaching fault



CERN caverns



Geological engineering



How to find gold with boundary elements



Civil engineering



Arch dam



Conclusions



References



Program libraries



Utility_LIB



Geometry_LIB



Integration_LIB



Elast_LIB



Laplace_LIB



Postproc_LIB



Stiffness_LIB



Answers to exercises


Index