Journal ArticleDOI
Principles of Classical Mechanics and Field Theory. Vol 3, Part 1 of Encyclopedia of Physics
S. Flügge,E. H. Dill +1 more
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This article is published in Physics Today.The article was published on 1961-11-01. It has received 78 citations till now.read more
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On the role of gradients in the localization of deformation and fracture
TL;DR: In this paper, the role of higher order strain gradients in the localization of plastic flow, the formation and propagation of deformation bands, and the determination of the structure of the crack tip is given.
Journal ArticleDOI
Continuous/discontinuous finite element approximations of fourth-order elliptic problems in structural and continuum mechanics with applications to thin beams and plates, and strain gradient elasticity
TL;DR: A continuous/discontinuous Galerkin (C/DG) method is proposed which uses C0-continuous interpolation functions and is formulated in the primary variable only, leading to a formulation where displacements are the only degrees offreedom, and no rotational degrees of freedom need to be considered.
Journal ArticleDOI
Vortex identification: New requirements and limitations
TL;DR: A survey of vortex-identification methods can be found in this paper, where the most widely used local criteria (applied point by point) sharing a basis in the velocity-gradient tensor ∇u are treated more thoroughly to recall their underlying ideas and physical aspects.
Journal ArticleDOI
A Continuum theory of chemically reacting media—I
A. Cemal Eringen,John D. Ingram +1 more
TL;DR: In this paper, a unified approach for the derivation of conservation of mass, balance of momenta, conservation of energy and balance of entropy across a moving surface of discontinuity in a chemically reacting continuum is presented.
Book ChapterDOI
Galilei Group and Galilean Invariance
TL;DR: Galilean transformation laws were but an approximation to the more exact Lorentz formulas, and one could distinguish the abstract principle of relativity from its concrete expressions, as various possible theories of relativity as mentioned in this paper.