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, a theoretical analysis employing the concept of deformation bands is proposed to describe deformation localisation in the foam rise direction, and the analysis involves the parameters of the deformation band thickness, band front propagation velocity, strain and strain rate within the band front, and is shown to correlate well with experiments.
111 citations
TL;DR: Measurements of acoustic emission, crack velocity, and surface structure demonstrate quantitatively similar dynamical fracture behavior in two very different materials, polymethylmethacrylate and soda-lime glass, suggesting that there exist universal features of the fracture energy that result from dissipation of energy in a dynamical instability.
Abstract: Linear elasticity is unable to predict completely the dynamics of a rapidly moving crack without the addition of a phenomenological fracture energy. Our measurements of acoustic emission, crack velocity, and surface structure demonstrate quantitatively similar dynamical fracture behavior in two very different materials, polymethylmethacrylate and soda-lime glass. This unexpected agreement suggests that there exist universal features of the fracture energy that result from dissipation of energy in a dynamical instability.
111 citations
TL;DR: In this article, the authors calculate the osmotic pressure in a semi-dilute solution of stretched polymers in a good solvent and apply it to polymer brushes where polymers are stretched either directly or by application of shear.
Abstract: We calculate the osmotic pressure in a semi-dilute solution of stretched polymers in a good solvent. The results are applied to polymer brushes where polymers are stretched either directly or by application of shear. It is shown that when a brush is sheared against the solvent, the stretching proceeds always within the nonlinear regime of polymer elasticity. When the brush is subjected to a combination of compression and shear forces and the shear is gradually increased, there is a crossover between low-shear linear elastic behaviour to a nonlinear regime in which the brush swells and eventually reaches its full uncompressed thickness at high shear stress. The relevance of our results to present and future experiments is discussed.
111 citations
TL;DR: This work presents a multigrid framework for the simulation of high-resolution elastic deformable models, designed to facilitate scalability on shared memory multiprocessors and achieves simulation rates as high as 6 frames per second for test models with 256K vertices on an 8-core SMP.
Abstract: We present a multigrid framework for the simulation of high-resolution elastic deformable models, designed to facilitate scalability on shared memory multiprocessors. We incorporate several state-of-the-art techniques from multigrid theory, while adapting them to the specific requirements of graphics and animation applications, such as the ability to handle elaborate geometry and complex boundary conditions. Our method supports simulation of linear elasticity and corotational linear elasticity. The efficiency of our solver is practically independent of material parameters, even for near-incompressible materials. We achieve simulation rates as high as 6 frames per second for test models with 256K vertices on an 8-core SMP, and 1.6 frames per second for a 2M vertex object on a 16-core SMP.
111 citations
TL;DR: The results indicate that severe stenosis causes considerable compressive stress in the tube wall and critical flow conditions such as negative pressure, high shear stress, and flow separation which may be related to artery compression, plaque cap rupture, platelet activation, and thrombus formation.
Abstract: Severe stenosis may cause critical flow and wall mechanical conditions related to artery fatigue, artery compression, and plaque rupture, which leads directly to heart attack and stroke. The exact mechanism involved is not well understood. In this paper a nonlinear three-dimensional thick-wall model with fluid-wall interactions is introduced to simulate blood flow in carotid arteries with stenosis and to quantify physiological conditions under which wall compression or even collapse may occur. The mechanical properties of the tube wall were selected to match a thick-wall stenosis model made of PVA hydrogel. The experimentally measured nonlinear stress-strain relationship is implemented in the computational model using an incremental linear elasticity approach. The Navier-Stokes equations are used for the fluid model. An incremental boundary iteration method is used to handle the fluid-wall interactions. Our results indicate that severe stenosis causes considerable compressive stress in the tube wall and critical flow conditions such as negative pressure, high shear stress, and flow separation which may be related to artery compression, plaque cap rupture, platelet activation, and thrombus formation. The stress distribution has a very localized pattern and both maximum tensile stress (five times higher than normal average stress) and maximum compressive stress occur inside the stenotic section. Wall deformation, flow rates, and true severities of the stenosis under different pressure conditions are calculated and compared with experimental measurements and reasonable agreement is found.
111 citations