Hypersingular Integral Equations in Fracture Analysis Books

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Hypersingular Integral Equations in Fracture Analysis


Hypersingular Integral Equations in Fracture Analysis
  • Author : Whye-Teong Ang
  • Publisher : Elsevier
  • Release : 2014-04-23
  • ISBN : 9780857094803
  • Language : En, Es, Fr & De
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Hypersingular Integral Equations in Fracture Analysis explains how plane elastostatic crack problems may be formulated and solved in terms of hypersingular integral equations. The unknown functions in the hypersingular integral equations are the crack opening displacements. Once the hypersingular integral equations are solved, the crack tip stress intensity factors, which play an important role in fracture analysis, may be easily computed. This title consists of six chapters: Elastic crack problems, fracture mechanics, equations of elasticity and finite-part integrals; Hypersingular integral equations for coplanar cracks in anisotropic elastic media; Numerical methods for solving hypersingular integral equations; Hypersingular boundary integral equation method for planar cracks in an anisotropic elastic body; A numerical Green's function boundary integral approach for crack problems; and Edge and curved cracks and piezoelectric cracks. This book provides a clear account of the hypersingular integral approach for fracture analysis, gives in complete form the hypersingular integral equations for selected crack problems, and lists FORTRAN programs of numerical methods for solving hypersingular integral equations. Explains the hypersingular integral approach using specific and progressively more complex crack problems Gives hypersingular integral equations for selected crack problems in complete form Lists computer codes in FORTRAN for the numerical solution of hypersingular integral equations

Selected Topics in Boundary Integral Formulations for Solids and Fluids


Selected Topics in Boundary Integral Formulations for Solids and Fluids
  • Author : Vladimir Kompiš
  • Publisher : Springer
  • Release : 2014-05-04
  • ISBN : 9783709125489
  • Language : En, Es, Fr & De
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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.

Acta Mechanica Solida Sinica


Acta Mechanica Solida Sinica
  • Author :
  • Publisher :
  • Release : 2005
  • ISBN : UIUC:30112083076965
  • Language : En, Es, Fr & De
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SIAM Journal on Scientific Computing


SIAM Journal on Scientific Computing
  • Author :
  • Publisher :
  • Release : 2004
  • ISBN : UOM:39015059087174
  • Language : En, Es, Fr & De
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Journal of Engineering Mechanics


Journal of Engineering Mechanics
  • Author :
  • Publisher :
  • Release : 2006
  • ISBN : UCSD:31822032899239
  • Language : En, Es, Fr & De
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