✦ LIBER ✦

Numerical solution of 3D elastostatic inclusion problems using the volume integral equation method

✍ Scribed by C.Y Dong; S.H Lo; Y.K Cheung

Publisher: Elsevier Science
Year: 2003
Tongue: English
Weight: 192 KB
Volume: 192
Category: Article
ISSN: 0045-7825
DOI: 10.1016/s0045-7825(02)00534-0

No coin nor oath required. For personal study only.

✦ Synopsis

A volume integral equation technique developed by

Lee and Mal (J. Appl. Mech. Trans. ASME 64 (1997)

has been extended to investigate three-dimensional stress problems with multiple inclusions of various shapes. Based on the volume integral formulation, displacement continuity and traction equilibrium along the interfaces between the matrix and the inclusions are automatically satisfied. While the embedding matrix is represented by an integral formulation, only the inclusion parts are discretized into finite elements (isoparametric quadratic 10-node tetrahedral or 20-node hexahedral elements are used in the present study). A number of numerical examples are given to show the accuracy and effectiveness of the proposed method.

📜 SIMILAR VOLUMES

Application of fast multipole Galerkin b

Application of fast multipole Galerkin boundary integral equation method to elastostatic crack problems in 3D

✍ Ken-ichi Yoshida; Naoshi Nishimura; Shoichi Kobayashi 📂 Article 📅 2001 🏛 John Wiley and Sons 🌐 English ⚖ 556 KB

On the numerical solution of axisymmetri

On the numerical solution of axisymmetric elasticity problems using an integral equation approach

✍ M. Mayr 📂 Article 📅 1976 🏛 Elsevier Science 🌐 English ⚖ 255 KB

Numerical analysis of the inclusion-crac

Numerical analysis of the inclusion-crack interactions using an integral equation

✍ C. Y. Dong; S. H. Lo; Y. K. Cheung 📂 Article 📅 2003 🏛 Springer 🌐 English ⚖ 253 KB

Numerical solution of the variation boun

Numerical solution of the variation boundary integral equation for inverse problems

✍ Rafael Gallego; Javier Suárez 📂 Article 📅 2000 🏛 John Wiley and Sons 🌐 English ⚖ 145 KB 👁 2 views

In this paper a procedure to solve the identiÿcation inverse problems for two-dimensional potential ÿelds is presented. The procedure relies on a boundary integral equation (BIE) for the variations of the potential, ux, and geometry. This equation is a linearization of the regular BIE for small chan

A new method for the numerical solution

A new method for the numerical solution of integral equation approximations

✍ P. T. Cummings; P. A. Monson 📂 Article 📅 1990 🏛 Springer 🌐 English ⚖ 502 KB

Boundary integral equation solution of t

Boundary integral equation solution of three-dimensional elastostatic problems in transversely isotropic solids using closed-form displacement fundamental solutions

✍ Mehdi Loloi 📂 Article 📅 2000 🏛 John Wiley and Sons 🌐 English ⚖ 155 KB 👁 2 views

The boundary integral equation method is used for the solution of three-dimensional elastostatic problems in transversely isotropic solids using closed-form fundamental solutions. The previously published point force solutions for such solids were modiÿed and are presented in a convenient form, espe