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Continuum mechanics
About: Continuum mechanics is a research topic. Over the lifetime, 5042 publications have been published within this topic receiving 181027 citations.
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TL;DR: In this article, a smoothed particle hydrodynamics (SPH) method is used to solve large deformation problem of geomaterials, and the results indicated that the SPH method is able to express the same tendencies of safety factor obtained from conventional circular slippage calculations.
43 citations
TL;DR: In this article, the elastic behavior and failure strength of three-dimensional braided composites were investigated by using a multi-scale finite element method under the representative unit cell scale and tow architecture scale.
Abstract: This paper investigates the elastic behavior and failure strength of three-dimensional braided composites by using a multi-scale finite element method. The analyses are performed under the representative unit cell scale and tow architecture scale. The heterogeneous material structure in a RUC is modeled by the multiphase finite element method. Three special element types, called yarn element, matrix element and mixed element, are derived. The correlation between different scales is derived based on the continuum mechanics and homogenization method. Effective modulus of 3D braided composites is predicted solely from the corresponding constituent properties and braided geometrical parameters. The bending strengths are determined by the failure criteria of the components. The predicted results compare favorably with available experimental data. Parametric studies are also performed to examine the effect of braiding angle on the resulting mechanical properties.
43 citations
TL;DR: This work presents the material, spatial, and convective representations for elasticity and fluids with a free boundary from the Lagrangian reduction point of view, using the material and spatial symmetries of these systems.
Abstract: We present the material, spatial, and convective representations for elasticity and fluids with a free boundary from the Lagrangian reduction point of view, using the material and spatial symmetries of these systems. The associated constrained variational principles are formulated and the resulting equations of motion are deduced. In addition, we introduce general free boundary continua that contain both elasticity and free boundary hydrodynamics, extend for them various classical notions, and present the constrained variational principles and the equations of motion in the three representations.
43 citations
TL;DR: An axisymmetric buckling analysis of circular single-layered graphene sheets (SLGS) is presented by decoupling the nonlocal equations of Eringen theory as mentioned in this paper.
Abstract: Recently, graphene sheets have shown significant potential for environmental engineering applications such as wastewater treatment. Different non-classical theories have been used for modeling of such nano-sized systems to take account of the effect of small length scale. Among all size-dependent theories, the nonlocal elasticity theory has been commonly used to examine the stability of nano-sized structures. Some research works have been reported about the mechanical behavior of rectangular nanoplates with the consideration of thermal effects. However, in comparison with the rectangular graphene sheets, research works about the nanoplates of circular shape are very limited, especially for the buckling properties with thermal effects. Hence, in this paper, an axisymmetric buckling analysis of circular single-layered graphene sheets (SLGS) is presented by decoupling the nonlocal equations of Eringen theory. Constitutive relations are modified to describe the nonlocal effects. The governing equations are derived using equilibrium equations of the circular plate in polar coordinates. Numerical solutions for buckling loads are computed using Galerkin method. It is shown that nonlocal effects play an important role in the buckling of circular nanoplates. The effects of the small scale on the buckling loads considering various parameters such as the radius of the plate, radius-to-thickness ratio, temperature change and mode numbers are investigated.
43 citations