An improved inner point stress integral equation and its application in 2-D elastoplastic problems
作者： C. Y. Dong , H. Antes
DOI: 10.1016/S0955-7997(97)00073-8
关键词: Singularity 、 Singular integral 、 Mathematical analysis 、 Boundary element method 、 Mathematics 、 Integral equation 、 Volume integral 、 Cauchy's integral formula 、 Line integral 、 Cauchy principal value
摘要: In this paper, an improved inner point stress integral formulation for 2-D or 3-D elastoplastic problems is given by Stokes' theorem. formulation, Cauchy principal integrals appearing in the usual are converted into weakly singular and a line over potential plastic area as well corresponding free term. Numerical examples problem show that correct.
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sci-hub.se 参考文章(11)
Donald P. Henry, Prasanta K. Banerjee, A new BEM formulation for tow‐ and three‐dimensional elastoplasticity using particular integras International Journal for Numerical Methods in Engineering. ,vol. 26, pp. 2079- 2096 ,(1988) , 10.1002/NME.1620260912
Shan Lu, T. Q. Ye, Direct evaluation of singular integrals in elastoplastic analysis by the boundary element method International Journal for Numerical Methods in Engineering. ,vol. 32, pp. 295- 311 ,(1991) , 10.1002/NME.1620320205
J. C. F. Telles, Boundary Element Equations for Inelastic Problems Springer, Berlin, Heidelberg. pp. 102- 139 ,(1983) , 10.1007/978-3-642-45562-9_4
C. A. Brebbia, J. C. F. Telles, L. C. Wrobel, Boundary Element Techniques Springer Berlin Heidelberg. ,(1984) , 10.1007/978-3-642-48860-3
P. G. Hodge, G. N. White, A Quantitative Comparison of Flow and Deformation Theories of Plasticity Journal of Applied Mechanics. ,vol. 17, pp. 180- 184 ,(1950) , 10.1115/1.4010097
J. C. F. Telles, The Boundary Element Method Applied to Inelastic Problems ,(1983)
A. Mendelson, L. U. Albers, Application of boundary integral equations to elastoplastic problems ,(1975)
J.C.F. Telles, C.A. Brebbia, On the application of the boundary element method to plasticity Applied Mathematical Modelling. ,vol. 3, pp. 466- 470 ,(1979) , 10.1016/S0307-904X(79)80030-X
H.D. Bui, Some remarks about the formulation of three-dimensional thermoelastoplastic problems by integral equations International Journal of Solids and Structures. ,vol. 14, pp. 935- 939 ,(1978) , 10.1016/0020-7683(78)90069-0
J.L. Swedlow, T.A. Cruse, Formulation of boundary integral equations for three-dimensional elasto-plastic flow International Journal of Solids and Structures. ,vol. 7, pp. 1673- 1683 ,(1971) , 10.1016/0020-7683(71)90006-0