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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 paper, the equations of motion for a flexible body are derived based on the principles of continuum mechanics and the finite element method, and the use of a lumped mass formulation and the description of the nodal accelerations relative to a nonmoving reference frame lead to a simple form of these equations.
Abstract: The problem of formulating and numerically solving the equations of motion for a multibody system undergoing large motion and clasto-plastic deformations is considered here. Based on the principles of continuum mechanics and the finite element method, the equations of motion for a flexible body are derived. It is shown that the use of a lumped mass formulation and the description of the nodal accelerations relative to a nonmoving reference frame lead to a simple form of these equations. In order to reduce the number of coordinates that describe a deformable body, a Guyan condensation technique is used. The equations of motion of the complete multibody system are then formulated in terms of joint coordinates between the rigid bodies. The kinematic constraints that involve flexible bodies are introduced in the equations of motion through the use of Lagrange multipliers.
52 citations
TL;DR: In this article, an anisothermal model is presented for modeling and simulation of the quenching process, which is formulated within the framework of continuum mechanics and the thermodynamics of irreversible processes.
52 citations
52 citations
TL;DR: In this paper, a multiscale continuum model of solids was developed to explain the uncommon properties of the thin structures and the composite materials with thin structures associated with special type local interactions between nanoparticles and matrix.
52 citations
TL;DR: In this paper, a brief review of the continuum theory for macroscopic descriptions and the kinetic theory for microscopic descriptions in solid/liquid two-phase flows is presented, i.e. the solid phase may be described by the Boltzmann equation and the liquid phase still being described by conservation laws in continuum theory.
52 citations