Topic
Linear elasticity
About: Linear elasticity is a research topic. Over the lifetime, 9080 publications have been published within this topic receiving 258684 citations.
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TL;DR: In this article, the results from nine linear elastic models of a 6+1 wire single layered strand (simple straight strand) subjected to static axial loads were compared with values from 3D finite element modeling.
132 citations
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TL;DR: In this paper, the authors derived the governing nonlinear shell equations taking into account the surface stresses and showed that the resultant stress and couple stress tensors can be represented as a sum of two terms, i.e., the first term in the sum depends on the stress distribution in the bulk material while the second one relates to surface stresses.
131 citations
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TL;DR: In this paper, the static linear elasticity, natural frequency, and buckling behavior of functionally graded porous plates reinforced by graphene platelets (GPLs) were investigated within the Isogeometric Analysis framework.
131 citations
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TL;DR: In this article, the dynamic compressive stress-strain behavior of a rigid polyurethane foam with four values of density (78, 154, 299, and 445 kg/m3) has been determined in the strain-rate range of 1000−5000 s−1.
Abstract: The dynamic compressive stress-strain behavior of a rigid polyurethane foam with four values of density (78, 154, 299, and 445 kg/m3) has been determined in the strain-rate range of 1000–5000 s−1. A pulse shaping technique was used with a split Hopkinson pressure bar to ensure homogeneous deformation in the foam specimens under dynamic compression. Dynamic stress equilibrium in the specimen was monitored during each experiment using piezoelectric force transducers mounted close to the specimen end-faces. Quasi-static experiments were also performed to demonstrate rate effects. Experimental results show that both the quasistatic and the dynamic stress-strain curves of the foam exhibit linear elasticity at small strains until a peak is reached. After the peak, the stress-strain curves have a plateau region followed by a densification region. The peak stress is strain-rate sensitive and depends on the square of the foam density.
131 citations
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TL;DR: Toupin's version of Saint-Venant's principle in linear elasticity is generalized to the case of linear piezoelectricity in this article, where it is shown that, for a straight prismatic bar made of a linear PEG material and loaded by a self-equilibrated system at one end only, the internal energy stored in the portion of the bar which is beyond a distance s from the loaded end decreases exponentially with the distance s.
Abstract: Toupin's version of Saint-Venant's principle in linear elasticity is generalized to the case of linear piezoelectricity. That is, it is shown that, for a straight prismatic bar made of a linear piezoelectric material and loaded by a self-equilibrated system at one end only, the internal energy stored in the portion of the bar which is beyond a distance s from the loaded end decreases exponentially with the distance s.
131 citations