Full Description
The book outlines special approaches using singular and non-singular, multi-domain and meshless BEM formulations, hybrid- and reciprocity-based FEM for the solution of linear and non-linear problems of solid and fluid mechanics and for the acoustic fluid-structure interaction. Use of Trefftz functions and other regularization approaches to boundary integral equations (BIE), boundary contour and boundary node solution of BIE, sensitivity analysis, shape optimization, error analysis and adaptivity, stress and displacement derivatives in non-linear problems smoothing using Trefftz polynomials and other special numerical approaches are included. Applications to problems such as noise radiation from rolling bodies, acoustic radiation in closed and infinite domains, 3D dynamic piezoelectricity, Stefan problems and coupled problems are included.
Contents
Preface; Introduction to Nonlinear Continuum Mechanics; Finite Displacements in Reciprocity Based Multi-Domain BE/FE Formulations; Stress Smoothing in Large Strain, Large Rotation Problems; Special Topics in Multi-Domain BEM Formulations; BEM Representations of Diffusion-Convection Equations; A Simmetric Hybrid Boundary Element Method for Acoustical Problems; A FEM/HBEM Approach for the Simulation of noise Radiation from a Rolling Tire; About the Numerical Solution of the Equations of Piezoelectricity; Transient Viscoelastodynamic Boundary Element Formulations; A Hybrid Boundary Element Approach without Singular Boundary Integrals; The Boundary Contour Method; The Boundary Node Method; Symmetric Galerkin BEM in 3D Elasticity: Computational Aspects and Applications to Fracture Mechanics; Boundary contour method for plane problems in a dual formulation with quadratic shape functions
