Elastic analysis of a half-plane containing an inclusion and a void using a mixed volume and boundary integral equation method

• Published in: Engineering analysis with boundary elements Vol. 35; no. 7; pp. 915 - 924
• Main Authors: Lee, J.K., Mal, A.
• Format: Journal Article
• Language: English
• Published: Kidlington Elsevier Ltd 01.07.2011; Elsevier
• Subjects: Anisotropic inclusion; Anisotropy; Boundaries; Boundary integral equation method; Elastic anisotropy; Exact sciences and technology; Fundamental areas of phenomenology (including applications); Green's function; Half-plane; Inclusions; Integral equations; Integral equations, integral transforms; Isotropic inclusion; Mathematical analysis; Mathematics; Mixed volume and boundary integral equation method; Numerical analysis; Numerical analysis. Scientific computation; Physics; Sciences and techniques of general use; Solid mechanics; Static elasticity (thermoelasticity...); Stresses; Structural and continuum mechanics; Void; Voids; Volume integral equation method; Isotropic inclusion; Boundary integral equation method; Half-plane; Anisotropic inclusion; Green's function; Volume integral equation method; Void; Mixed volume and boundary integral equation method; Stress analysis; Free boundary; Solid inclusion; Half plane; Boundary integral method; Green function; Modeling; Cavity; Elastic half plane; Plane elasticity; Integral equation
• ISSN: 0955-7997; 1873-197X
• DOI: 10.1016/j.enganabound.2011.02.004

A mixed volume and boundary integral equation method is used to calculate the plane elastostatic field in an isotropic elastic half-plane containing an isotropic or anisotropic inclusion and a void subject to remote loading parallel to a traction-free boundary. A detailed analysis of the stress field is carried out for three different geometries of the problem. It is demonstrated that the method is very accurate and effective for investigating local stresses in an isotropic elastic half-plane containing multiple isotropic or anisotropic inclusions and multiple voids.