Topic
Continuum mechanics
About: Continuum mechanics is a research topic. Over the lifetime, 5042 publications have been published within this topic receiving 181027 citations.
Papers published on a yearly basis
Papers
More filters
TL;DR: In this article, a torque stress tensor is introduced, which is defined by torques acting through an area element and a material constant is derived which gives the ratio of the torque stress to the dislocation density or lattice-curvature.
209 citations
01 Jan 1979
TL;DR: In this paper, it was shown that there exists at most one solution satisfying an entropy condition which generalizes the second law of thermodynamics for systems of this type, i.e. the equations of shallow water waves, fluid dynamics, magneto-fluid dynamics and certain elasticity problems.
Abstract: : It is known that conservative systems of differential equations which result from continuum mechanics (e.g. the equations of shallow water waves, fluid dynamics, magneto-fluid dynamics and certain elasticity problems) do not have unique solutions. Thus the problem arises of proving that systems of this type have only one physically meaningful solution. This report shows that there exists at most one solution satisfying an entropy condition which generalizes the second law of thermodynamics.
204 citations
TL;DR: In this article, the free vibrations of nano-beams are investigated by making recourse to the novel stress-driven nonlocal integral model (SDM), which provides an effective methodology to describe nonlocal phenomena in NEMS.
Abstract: Nonlocal theories of Continuum Mechanics are widely used in order to assess size effects in nano-structures. In this paper, free vibrations of nano-beams are investigated by making recourse to the novel stress-driven nonlocal integral model (SDM). Equations of motion governing the dynamics of a Bernoulli-Euler nano-beam are consistently formulated and numerically integrated by Matlab. Selected case studies involving structures of nanotechnological interest are examined. Natural frequencies, evaluated according to the SDM, are compared with those obtained by the Eringen differential law (EDM) and by the gradient elasticity theory (GradEla). SDM provides an effective methodology to describe nonlocal phenomena in NEMS.
204 citations
TL;DR: In this article, Bruhns et al. formulate constitutive laws of finite thermoviscoplasticity in the strain space and apply them to finite non-isothermal deformations.
204 citations
TL;DR: In this article, a finite element method for calculating the energy release rate is proposed based on a continuum mechanics formulation of the virtual crack extension principle and can be used with linear elastic materials as well as materials following the deformation theory of plasticity.
202 citations