On stress-strain relations for isotropic rigid perfectly plastic solids
نویسندگان
چکیده
منابع مشابه
Steady-state Penetration of Transversely Isotropic Rigid/perfectly Plastic Targets
Ahstraet-Axisymmetric deformations of a transversely isotropic, rigid/perfectly plastic target being penetrated by a long rigid cylindrical rod with an ellipsoidal nose have been analyzed. The deformations of the target appear steady to an observer situated at the penetrator nose tip. The contact between the target and the penetrator is assumed to be smooth. Computed results show that the defor...
متن کاملRigid perfectly plastic two-dimensional polycrystals
We consider rigid–perfectly–plastic polycrystals in the two–dimensional anti– plane shear context. The yield sets of the grains are identified with rectangles in the plane centered at the origin whose sides have length 2 and 2M . The limit M → ∞ corresponds to the grains being rigid in one direction and ductile in the orthogonal direction. We show that for large values of M , there exist polycr...
متن کاملStress-strain relations for crystals containing plastic deformation.
Let P be one of the possible slip planes in a crystal, and let X be one of the possible slip directions in the plane P. Also let S be the magnitude of the shearing stress on the plane P resolved in the direction X, and So the critical value of S, i.e., the least value of S sufficient to permit slip or plastic deformation under the conditions specified in the following italicized statement; if s...
متن کاملSteady State Penetration of Rigid Perfectly Plastic Targets
The problem of steady penetration by a semi-infinite, rigid penetrator into an infinite, rigid/perfectly plastic target has been studied. The rod is assumed to be cylindrical, with a hemispherical nose, and the target is assumed to obey the Von-Mises yield criterion with the associated flow rule. Contact between target and penetrator has been assumed to be smooth and frictionless. Results compu...
متن کاملSteady State Penetration of Compressible Rigid Perfectly Plastic Targets
Steady state axisymmetric deformations of a homogeneous, isotropic, compressible and rigid perfectly plastic target being penetrated by a rigid cylindrical penetrator with a hemispherical nose are studied by the finite element method. The steady state is reached with respect to an observer situated on the penetrator nose and moving with it. Tillotson’s equation, restricted to mechanical deforma...
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ژورنال
عنوان ژورنال: Quarterly of Applied Mathematics
سال: 1969
ISSN: 0033-569X,1552-4485
DOI: 10.1090/qam/99825