The mechanical behavior of cold rolled sheets is significantly related to residual stresses that arise from bending and unbending processes. Measurement of residual stresses is mostly limited to surface measurement techniques. Experimental determination of stress variation through thickness is difficult and time-consuming. This paper presents a closed form solution for residual stresses, in whi...

determination of the deformation length is one of the first steps in roll forming design. roll forming industries are very interested in explicit simple relationsfor prediction the deformation length without using trail-and-error methods at workshop or time consuming finite element simulations. in this paper, elastic properties and work-hardening behaviour of the strip are considered in additio...

in this paper, an analytical solution for computing the linear plastic stresses and critical pressure in a fgm hollow cylinder under the internal pressure due to non-axisymmetric loads is developed. it has been assumed that the modulus of elasticity was varying through thickness of the fgm material according to a power law relationship. the poisson's ratio was considered constant throughou...

Elastic-plastic behavior of a beam made of functionally graded material is investigated in this work‎. ‎The beam is subjected to the constant axial and bending loads and the critical values of these loads for yield‎, ‎collapse and elastic-plastic conditions are obtained‎. ‎The variation of elastic modulus and yield strength through the height of the beam is determined with an exponential rule‎....

In the analysis of boundary value problems in the theory of plasticity, the general situation arises that different partial differential equations are to be satisfied depending on whether the material is in the plastic or elastic state. The criterion determining the state at any material point depends on the dependent variables and their derivatives with respect to time. Thus the regions of app...

The triple impulse input is used as a simplified version of the forward-directivity near-fault ground motion and a closed-form solution of the elastic–plastic response of a structure by this triple input is obtained. It is noteworthy that only the free-vibration appears under such triple impulse input. An almost critical excitation is defined and its response is derived. The energy approach pla...

The double impulse input is introduced as a substitute of the fling-step near-fault ground motion and a closed-form solution of the elastic–plastic response of a structure by the “critical double impulse input” is derived. Since only the free-vibration appears under such double impulse input, the energy approach plays an important role in the derivation of the closed-form solution of a complica...

A B S TR AC T This paper presents an incremental elastic-plastic finite element solution to the problem of small scale yieldmg near a crack in plane strain for a non-hardening material. Emphasis is placed on the design of finite elements which allow accurate reproduction, m a numerical solution, of the detailed structure of the near crack tip stress and strain fields, as understood from previou...