A bending analysis of elastic-plastic circular plates
Bending analysis of elastic-plastic circular plates under arbitrary axisymmetric loading
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Bending analysis of elastic-plastic circular plates under arbitrary axisymmetric loading
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Determination of axial buckling load of circular cylindrical shells formed by process of plastic expansion due to internal pressure
Plastic enclave sizes for internal cracks from circular cavities within elastic plates
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An exact elastic-plastic solution for the stresses in an infinite sheet having a circular hole subject to pressure is obtained on the basis of J2 deformation theory together with a modified Ramberg-Osgood law. The sheet is orthotropic but isotropic in its plane. The results are assessed on the basis of Budiansky's criterion for the acceptability of J2 deformation theory. By using exact elastic-plastic stresses, the function connecting the pressure at the hole with the radial enlargement is obtained. Upon release of the pressure, residual stresses around the hole are produced.
Stress concentrations in thin plates weakened by elastic-plastic strains due to infinite number of holes on X-axis
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Numerical solution for estimating plastic enclave size at tips of cracks emanating from edges or from internal cavities within elastic plates under various loads
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Nonlinear boundary value problems of an infinite elastic-plastic plate with a circular hole subjected to pure tension and pure shear at infinity are solved by a method involving Fourier series and finite difference. On the basis of these solutions, the validity of Neuber's relationship between the stress and strain concentration factors for the plane stress problems is examined and a generalized Stowell formula for the stress concentration factor is proposed for problems in which the applied loading may be pure shear as well as pure tension and, furthermore, other stress states. By the same method of solution, the stress distributions around a rigid circular cylindrical inclusion embedded in an infinite rigid-plastic matrix subjected to uniform transverse pure shear and tension are obtained.
Elastic-plastic deformation theories and elastic solutions method for solving problem of stress concentration around circular hole in spherical shell