Boundary element formulation for planar time-dependent inelastic deformation of plates with cutouts

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A boundary element formulation for planar, time-dependent, inelastic deformation problems for bodies with cutouts is presented in this paper. A stress function description for these nonlinear problems leads to a nonhomogeneous biharmonic equation for the stress function rate. An integral representation of the solution uses modified kernels which guarantee that the cutout boundary is traction free for all time. This incorporation of the effect of the cutout on the stress field into the kernels leads to an accurate determination of stresses in the near field of the cutout. Illustrative analytical examples for circular plates with circular cutouts are presented in … continued below

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39 pages

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Mukherjee, S. & Morjaria, M. February 1, 1980.

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A boundary element formulation for planar, time-dependent, inelastic deformation problems for bodies with cutouts is presented in this paper. A stress function description for these nonlinear problems leads to a nonhomogeneous biharmonic equation for the stress function rate. An integral representation of the solution uses modified kernels which guarantee that the cutout boundary is traction free for all time. This incorporation of the effect of the cutout on the stress field into the kernels leads to an accurate determination of stresses in the near field of the cutout. Illustrative analytical examples for circular plates with circular cutouts are presented in this paper. In a companion paper, numerical solutions are presented for problems of finite plates with very narrow elliptic cutouts. These problems are of considerable importance in inelastic fracture.

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39 pages

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NTIS, PC A03/MF A01.

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  • February 1, 1980

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  • Jan. 22, 2018, 7:23 a.m.

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  • Feb. 23, 2021, 7:02 p.m.

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Mukherjee, S. & Morjaria, M. Boundary element formulation for planar time-dependent inelastic deformation of plates with cutouts, report, February 1, 1980; United States. (https://digital.library.unt.edu/ark:/67531/metadc1055406/: accessed May 29, 2024), University of North Texas Libraries, UNT Digital Library, https://digital.library.unt.edu; crediting UNT Libraries Government Documents Department.

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