Topic
Stress field
About: Stress field is a research topic. Over the lifetime, 11926 publications have been published within this topic receiving 226417 citations.
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TL;DR: In this paper, a study of the origins of the European regional stress field is presented, based on a wide range of plausible forces acting along the collisional eastern and southern plate boundaries and through the inclusion of forces due to other lateral density variations within the lithosphere, such as those associated with the continental margins and high topography.
186 citations
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TL;DR: In this article, explicit and closed expressions for the stress and couple-stress fields for discrete (classical) mechanical systems in terms of the constituents' degrees of freedom and interactions are derived and compared to previous results.
Abstract: Explicit and closed expressions for the stress and couple-stress fields for discrete (classical) mechanical systems in terms of the constituents’ degrees of freedom and interactions are derived and compared to previous results. This is done by using an exact and general coarse graining formulation, which allows one to predetermine the resolution of the continuum fields. Since the full dynamics of the pertinent fields is considered, the results are not restricted to static states or quasi-static deformations; the latter comprise mere limiting cases, which are discussed as well. The fields automatically satisfy the equations of continuum mechanics. An explicit expression for the antisymmetric part of the stress field is presented; the question whether the latter vanishes, much like its nature when it does not, have been debated in the literature. Physical explanations of some of the obtained results are offered; in particular, an interpretation of the expression for the stress field provides an argument in favor of its uniqueness, yet another topic of debate in the literature. The formulation and results are valid for single realizations, and can of course be used in conjunction with ensemble averaging. Part of the paper is devoted to a biased discussion of the notion of coarse graining in general, in order to set the presented results in a certain perspective. Although the results can be applied to molecular (nanoscale included) and granular systems alike, the presentation and some simplifying assumptions (which can be easily relaxed) target granular systems. The results should be useful for the analysis of experimental and numerical findings as well as the development of constitutive relations.
186 citations
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TL;DR: In this article, a variational analysis of cracked [ 0° m 90° n ]s laminates is performed by variational methods on the basis of minimum complementary energy, and the optimal stress field is then determined by minimization of complementary energy.
184 citations
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TL;DR: In this paper, it was shown that more complicated configurations may be composed of angular dislocations, and the corresponding stress fields can be deduced by adding the fields of the components.
Abstract: The stress field of a sharply angular dislocation is calculated by Burgers' method. It is shown that more complicated configurations may be composed of angular dislocations, and the corresponding stress fields deduced by adding the fields of the components. Some examples are given, including the triangle, hexagon and tetrahedron.
184 citations
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TL;DR: In this article, the tension test of off-angle composites is discussed and the influence of end constraint on the uniform stress field is investigated, and analytical and experimental evidence is presented to show the serious effects caused by conventional clamping devices.
Abstract: One of the most elementary concepts in elasticity theory is that of a uniform state of stress. Producing such a state of stress in the laboratory, however, is not a trivial task. A common experiment in composite mechanics — the tension test of off-angle composites — is discussed in this paper and the influence of end constraint on the uniform stress field is investigated. Analytical and experimental evidence is presented to show the serious effects caused by conventional clamping devices.
184 citations