Numerical solution of three-dimensional static problems of elasticity for a body with a noncanonical inclusion

作者: V. V. Mikhas’kiv , B. M. Stasyuk

DOI: 10.1007/S10778-007-0033-7

关键词: MathematicsDiscretizationBoundary integral equationsElastic matrixElastic modulusMathematical analysisElasticity (economics)Gaussian integralBoundary element methodMechanical engineeringMechanics of Materials

摘要: A boundary-element scheme is proposed for the numerical determination of stress-strain state a three-dimensional composite body, which an elastic inclusion arbitrary shape perfectly bonded to infinite matrix. The involves reduction original problem six boundary integral equations components interfacial displacements and forces parametrization discretization these using generalized Gaussian integrals topological maps with regularizing Jacobians. Numerical results are obtained cylindrical rounded ends in matrix subject at infinity constant acting along this fiber. influence length-to-radius ratio fiber moduli on stresses examined

参考文章(19)
V. S. Kirilyuk, The stress state of an elastic medium with an elliptic crack and two ellipsoidal cavities International Applied Mechanics. ,vol. 39, pp. 829- 839 ,(2003) , 10.1023/A:1026277824212
Noriyoshi Kumazawa, Hiroshi Okada, Yasuyoshi Fukui, Homogenization Analysis for Particulate Composite Materials using the Boundary Element Method Cmes-computer Modeling in Engineering & Sciences. ,vol. 5, pp. 135- 149 ,(2004) , 10.3970/CMES.2004.005.135
Ján Sládek, Vladimír Sládek, Ján Balaš, Stress analysis by boundary element methods ,(1989)
V. I. Kushch, Addition theorems of partial vector solutions of the Lame equation in a spheroidal basis International Applied Mechanics. ,vol. 31, pp. 155- 159 ,(1995) , 10.1007/BF00846768
V. S. Kirilyuk, O. I. Levchuk, STRESS STATE OF AN ORTHOTROPIC MATERIAL WITH AN ELLIPTIC CRACK UNDER LINEARLY VARYING PRESSURE International Applied Mechanics. ,vol. 42, pp. 790- 796 ,(2006) , 10.1007/S10778-006-0147-3
V. S. Kirilyuk, O. I. Levchuk, Stress State of a Transversely Isotropic Medium with an Arbitrarily Oriented Spheroidal Inclusion International Applied Mechanics. ,vol. 41, pp. 137- 143 ,(2005) , 10.1007/S10778-005-0069-5
V. S. Kirilyuk, O. I. Levchuk, Electroelastic stress state of a piezoceramic body with a paraboloidal cavity International Applied Mechanics. ,vol. 42, pp. 1011- 1020 ,(2006) , 10.1007/S10778-006-0171-3
P.K. Banerjee, D.P. Henry, Elastic analysis of three-dimensional solids with fiber inclusions by bem International Journal of Solids and Structures. ,vol. 29, pp. 2423- 2440 ,(1992) , 10.1016/0020-7683(92)90001-A