Journal ArticleDOI
An incorrect inequality in micropolar elasticity theory
TLDR
In this article, the authors festgestellt, dass in verschiedenen Veroffentlichungen uber mikropolare Elastizitat eine inkorrekte Ungleichung verwendet worden ist und dass dies zu unrichtigen Ergebnissen gefuhrt hat.Abstract:
Es wird festgestellt, dass in verschiedenen Veroffentlichungen uber mikropolare Elastizitat eine inkorrekte Ungleichung verwendet worden ist und dass dies zu unrichtigen Ergebnissen gefuhrt hat.read more
Citations
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Journal ArticleDOI
Experimental microelasticity of two porous solids
TL;DR: In this paper, experiments were performed to determine the dependence of torsional and bending rigidity upon diameter for rod-shaped specimens of dense polyurethane foam and syntactic foam.
Journal ArticleDOI
Elasto-static micropolar behavior of a chiral auxetic lattice
TL;DR: In this paper, a micropolar-continuum model is employed to describe the behavior of a representative auxetic structural network, the chiral lattice, in an attempt to remove the indeterminacy in its constitutive law resulting from ν=−1.
Experimental methods for study of cosserat elastic solids and other generalized elastic continua
TL;DR: In this paper, experimental methods for determining the six Cosserat elastic constants of an isotropic elastic solid and the six relaxation functions of a viscoelastic solid are presented.
Journal ArticleDOI
Experimental study of micropolar and couple stress elasticity in compact bone in bending
Jingzhou Yang,Roderic S. Lakes +1 more
TL;DR: Size effects in quasistatic bending of compact bone are observed and are consistent with micropolar theory, and two nonclassical elastic constants are evaluated.
Journal ArticleDOI
Elasticity, Piezoelectricity and Crystal Lattice Dynamics
TL;DR: A review of recent developments in the area between the dynamical theory of crystal lattices, in the harmonic approximation, and the classical, linear theories of elasticity and piezoelectricity can be found in this paper.
References
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Journal ArticleDOI
Effects of couple-stresses in linear elasticity
ReportDOI
Linear theory of micropolar elasticity
TL;DR: In this article, a special class of micro-elastic materials called Micropolar Solids are presented for couple stress and distributed body couples, and the couple stress theory is shown to emanate as a spacial case of the present theory.
Journal ArticleDOI
Influence of couple-stresses on stress concentrations
TL;DR: In this article, two-dimensional equations of couple-stress theory for an isotropic, elastic medium were derived and the components of stress and couplestress were then expressed in terms of the Airy stress function and another stress function which accounts for the couple stresses.
Book ChapterDOI
Theory of Micropolar Elasticity
TL;DR: In this paper, the complete theory of 3M continua, with and without E-M interactions, was given, and balance laws, jump conditions and nonlinear constitutive equations were obtained, so that the theory is complete and closed.
Journal ArticleDOI
Stress functions for a Cosserat continuum
TL;DR: In this paper, a complete solution in terms of stress functions analogous to the Papkovitch functions of classical elasticity is obtained for the linear equations of an isotropic, elastic, Cosserat continuum.