Higher order variational problems appear often in the engineering literature and in connection with the so-called gradient theories of phase transitions within elasto-plastic regimes. The study of equilibria of micromagnetic materials asks for mastery of second order energies (see [51], [91]; see also [31], [38], [44], [45], [61], [77], [78], [79], [108]), and the Blake-Zisserman model for imag...

In elastic plastic solids, approaching the sub micron scale, critical experiments indicated significant differences in the mechanical response. Thus, mainly in small volume behavior a length scale issue is introduced with implications on the basic understanding of deformation and fracture processes. The current study is centered on the mechanical response of silicon particles in the range of 20...

Simplified fatigue and fracture mechanics based assessment methods are widely used by the industry to determine the structural integrity significance of postulated cracks, manufacturing flaws, service-induced cracking or suspected degradation of engineering components under normal and abnormal service loads. In many cases, welded joints are the regions most likely to contain original fabricatio...

The authors have been developing a crack propagation analysis system that can deal with arbitrary shaped cracks in threedimensional solids. The system is consisting of mesh generation software, a large-scale finite element analysis program and a fracture mechanics module. To evaluate the stress intensity factors, a Virtual Crack Closure-Integral Method (VCCM) for the second-order tetrahedral fi...

A cyclic plastic zone area near fatigue-fractured surface was studied using a back-reflection camera and high intensity, microbeam, synchrotron X-ray source (SR) in order to measure the variation of the stress intensity factor range (AK) along the fatigue fracture. The existence of subgrains within the cyclic plastic region was shown by the appearance of small spots in the Debye-Scgerrer rings ...

in this paper, three-dimensional modeling of the fatigue crack growth profiles was performed in a simple riveted lap joint. simulation results showed that mode i was dominated on the one side of the plates and the crack straightly grew on this side, while the other side of the plates was in a mixed-mode condition and the crack propagation path was not straight on this side. afterward, the fract...

In mode II interlaminar fracture toughness tests of composite laminates, the evaluated based on linear elastic mechanics deviates from true due to material nonlinearity matrix. this study, an elastoplastic finite-element analysis was performed a new quasi-static test, i.e., doubly end-notched tension (DENT) investigate difference between perceived energy release rate and J-integral. The effect ...

The development and current state-of-the-art in fracture mechanics in relation to studies of environment-enhanced fatigue-crack growth (corrosion fatigue) and fatigue-crack growth per se are reviewed. Patterns of response of materials to different loading and environmental conditions are considered in terms of the probable mechanisms for environmental embrittlement. The usefulness of the fractu...