منابع مشابه
Optimal Orientation of Anisotropic Solids
Results are presented for finding the optimal orientation of an anisotropic elastic material. The problem is formulated as minimizing the strain energy subject to rotation of the material axes, under a state of uniform stress. It is shown that a stationary value of the strain energy requires the stress and strain tensors to have a common set of principal axes. The new derivation of this well kn...
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Several general results are derived for diffuse waves in anisotropic solids, including concise expressions for the modal density per unit volume d(omega), and for the participation factor matrix G. The latter is a second-order tensor which describes the orientational distribution of diffuse wave or reverberant energy, and reduces to the identity I under isotropy. Calculations of G for a variety...
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This paper reports a study of wave motion in a generally anisotropic fractal medium (i.e. with different fractal dimensions in ifferent directions), whose constitutive response is represented by an isotropic Hooke’s law. First, the governing elastodynamic laws re formulated on the basis of dimensional regularization. It is discovered that the satisfaction of the angular momentum equation reclud...
متن کاملNotes on Wave Propagation in Anisotropic Elastic Solids
The aim of this document is to summarise the information on elastic material properties, and wave propagation which I have found in my recent reading. The books and papers read are listed at the end of this document, and cited throughout. First, the basic consititutive equations governing elastic solids are presented. Once the concept of elastic properties has been established, our attention tu...
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When mechanical constraints are present, solid-state reactions often induce deviatoric inelastic strains in addition to volume change. Existing models either attribute such deformation to the plastic flow driven by the stress exceeding a non-measurable kinetic-dependent yield strength, or need to introduce a deviatoric-stress-dependent chemical potential. By employing the transformation strain ...
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ژورنال
عنوان ژورنال: Le Journal de Physique IV
سال: 1994
ISSN: 1155-4339
DOI: 10.1051/jp4:1994765