Boundary Element Analysis: Theory and Programming
Boundary Element Analysis: Theory and Programming introduces the theory behind the boundary element method and its computer applications. The author uses Cartesian tensor notation throughout the book and includes the steps involved in deriving many of the equations, enabling students to master this powerful and necessary tool for comprehending most of the literature on boundary elements.
The book reviews elasticity, plate bending, elastodynamics, and elastoplasticity theories and their boundary element formulations. The author provides computer programs in Fortran 77 for elastostatic, plate bending, and free and forced vibration problems with detailed descriptions of various segments of the code. He adopts a unified approach in developing these programs, so that when students understand of the working of one program, they can easily follow the others. This approach enables students to begin using the boundary element method immediately. The book also presents a brief description of the finite element method with steps to develop efficient computer codes and a number of ways to combine the boundary element and finite boundary element equations to achieve the best results when analyzing a variety of engineering problems.
The author's elegant presentation and comprehensive coverage of problems in structural and solid mechanics make Boundary Element Analysis: Theory and Programming an easy-to-use text for both students and professors.
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MEET THE BOUNDARY ELEMENT METHOD
BOUNDARY ELEMENTS INTERPOLATION FUNCTIONS
COMPUTER CODES FOR TWODIMENSIONAL
PLATE BENDING PROBLEMS
COMPUTER CODE FOR PLATE BENDING PROBLEMS
algebraic equations algorithm analysis array b(irow body force boundary conditions boundary displacements boundary element method boundary integral equation boundary nodes boundary point chapter components coordinates corresponding degrees of freedom deviatoric differential equation dimensional discretisation displacement vector displacements and stresses displacements and tractions domain integral dummy nodes eigen values elastoplastic elastostatic problems end do end end if end endif evaluated field point finite element method function fundamental solution Gauss quadrature given by Eq Hence icode icol ifirst ilast implicit double influence coefficients input interior point internal points irow isoparametric itype load vector main program Modulus of Elasticity ndisp ndum nelem nfree nnod nnod2 nodal displacement node numbers normal vector obtained particular integral plane strain plane stress Poisson's ratio prescribed represents shear shown in Fig singular source point stiffness matrix strain-displacement relations stress tensor stress-strain subroutine temp three-dimensional problems tion unit load variable names written yield surface zero