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Stress concentration
About: Stress concentration is a research topic. Over the lifetime, 23250 publications have been published within this topic receiving 422911 citations.
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TL;DR: In this article, two simultaneous second-order partial-differential equations were set up to describe the normal stresses along and across an adherend and were solved both by an approximate analytical method and a finite-difference technique: the two solutions agreed closely.
Abstract: Poisson's ratio strains in the adherends of a simple adhesive lap joint induce transverse stresses both in the adhesive and in the adherends.Two simultaneous second-order partial-differential equations were set up to describe the normal stresses along and across an adherend and were solved both by an approximate analytical method and a finite-difference technique: the two solutions agreed closely. The adhesive shear stresses can then be obtained by differentiating these solutions. The transverse shear stress has a maximum value for metals of about one-third of the maximum longitudinal shear stress, and this occurs at the corners of the lap, thus making the corners the most highly stressed parts of the adhesive.Bonding adherends of dissimilar stiffness was shown to produce greater stress concentrations in the adhesive than when similar adherends are used.
132 citations
TL;DR: In this article, the authors considered the conditions leading to both the initiation and the cessation of fracture propagation and found that the final geometry of the fracture set is a function of the remote strain history and the initial crack geometry.
Abstract: Naturally occurring extension fractures, including some joints and veins, form sets consisting of numerous subparallel fractures, each with well-defined ends. In order to correctly interpret these fractures in the field, it is necessary to determine which factors control the geometries of fracture sets. This requires consideration of the conditions leading to both the initiation and the cessation of fracture propagation. A fracture begins to propagate when the crack extension force reaches a critical value, which is a property of the rock and of environmental conditions. After propagation initiates, the crack extension force varies owing to: (1) increase in crack length, (2) change in remote strain, (3) elastic interaction with nearby cracks, (4) change in internal fluid pressure, and (5) stress relaxation due to growth of cracks in the surrounding rock. Each fracture continues to propagate as long as its crack extension force exceeds the critical value and terminates when this condition is no longer met. Neglecting fluid effects, the final geometry of the fracture set is a function of the remote strain history and the initial crack geometry, which can be characterized by the initial crack density. For low initial densities, large increases in crack length occur with little or no increase in remote strain. However, for large initial densities, crack lengths increase only if the applied strain increases. This analysis is used to estimate the variation in remote strain during formation of a fracture set in granitic rock from observations of the final fracture geometry.
132 citations
TL;DR: In this paper, the concept of critical stress concentration factor, well established for sharp V-notches, is generalized, under certain circumstances, to blunted Vnotches and a non dimensional formulation of the fracture criterion is proposed.
Abstract: This paper shows how the cohesive zone model can help in predicting fracture loads of brittle components with blunted V-notches. Linear Elastic Fracture Mechanics cannot be applied in such cases because there are no singularities; there is no crack, and neither is the notch sharp. Numerical predictions based on the cohesive zone model were checked succesfully against experimental measurements for PMMA at −60 °C (made by the authors) and steel, zirconia, silicon nitride and alumina by other researchers. The concept of a critical stress concentration factor, well established for sharp V-notches, is generalized, under certain circumstances, to blunted V-notches, and a non dimensional formulation of the fracture criterion is proposed.
132 citations
TL;DR: In this paper, a stochastic model for the nucleation of deformation twins in hexagonal close-packed (hcp) polycrystals is presented, and the model is implemented into a viscoplastic self-consistent (VPSC) crystal plasticity framework to test its predictive capability against previously reported statistical characterization in deformed zirconium at multiple temperatures.
132 citations
TL;DR: In this article, a cracked adhesive-bonded DCB-type fracture was analyzed using a hybrid stress model finite element analysis which incorporated an advanced crack tip element, and the results were compared to monolithic systems with regard to the stress intensity factor and the localization of the singular stress domain associated with the crack tip.
Abstract: The problem of a cracked adhesive bonded DCB-type fracture specimen has been analyzed using a hybrid stress model finite element analysis which incorporates an advanced crack tip element. Stresses in the near and far fields have been studied as a function of adherend/adhesive modulus ratio and adhesive thickness. The results are compared to monolithic systems with regard to the stress intensity factor and the localization of the singular stress domain associated with the crack tip.
131 citations