Stress analysis by combination of holographic interferometry and boundary-integral method

A Displacement Pattern Matching Application in Elastic-Plastic Hybrid Stress Analysis

“…Balas et al [12] introduced early BEM-experimental hybrid techniques, but all require manual data extraction. Liu (13] introduced a hybrid method using digital image 3 processing and elastic BEM.…”

“…Even though plastic deformation occurs, the stress rate is still related to the elastic strain rate by Hooke's law [38]. Accordingly, the stress rate can be found by isolating the elastic part of the total strain increment and using Hooke's Law: (11)(12) 1-2L to the eijaij term;…”

“…If the plastic strain is known apriori and if the problem is well posed, then Equation (11)(12)(13)(14)(15) yields the unknown boundary conditions. The boundary information could then be used to find the displacements in an elastic-plastic solid (Equation (11)(12)(13)(14) [45].…”

“…The boundary information could then be used to find the displacements in an elastic-plastic solid (Equation (11)(12)(13)(14) [45].…”

“…The 3/2 factor in Equation (11)(12)(13)(14)(15)(16)(17)(18)(19) ensures aeq equals the yield strength when uniaxial load is applied. For a work hardening, von Mises material, an equivalent plastic strain rate can be defined; eq = 4 P J ;PJ (11)(12)(13)(14)(15)(16)(17)(18)(19)(20) such that dWp aeqeeq where dWp is the plastic work increment (40].…”