Rheological stability with couple stresses and its application to geological folding
Rheological stability with couple stresses and its application to geological folding
复制标题
应力偶合流变稳定性及其在地质褶皱中的应用
DOI：
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发表时间：
1967
期刊：
影响因子：
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通讯作者：
M. Biot
中科院分区：
文献类型：
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作者：
M. Biot
作者的理论的弹性和粘弹性的初始应力各向异性固体扩展到包括偶应力和一个额外的改进表示的依赖于第二梯度的应力的变形。该理论的目的是提供一个近似的连续模型有效的层状介质力学在很宽的范围内。推导出的连续模型的方程是严格的介质最初在静止的初始应力下，但作为一个近似的粘性和塑性介质，表现出初始应变率与有限应变的稳定性问题是适用的。重力的影响也包括在内。一个“偶应力类比”使直接适用于介质与偶应力的一个大类的解决方案获得较早的板和多层下的初始应力。讨论了内屈曲问题。该理论特别适合于层状沉积岩的褶皱和重力不稳定性的分析，并且当应用于各种地质结构时，显示出非常简单的结果以提供惊人的验证。
The author’s theory of elasticity and viscoelasticity of initially stressed anisotropic solids is extended to include couple stresses and an additional refinement represented by a dependence of the deformation on the second gradient of the stress. The theory is intended to provide an approximate continuous model valid over a wide range for the mechanics of laminated media. The equations derived for the continuous model are rigorous for a medium initially at rest under the initial stress but are applicable as an approximation to stability problems of viscous and plastic media which exhibit initial strain rate with finite strain. The effect of gravity is included. A ‘couple-stress analogy’ renders immediately applicable to the medium with couple stresses a large class of solutions obtained earlier for plates and multilayers under initial stress. The problem of internal buckling is discussed. The theory is particularly suited to the analysis of folding and gravity instability of stratified sedimentary rock and remarkably simple results are shown to provide striking verification when applied to a wide variety of geological structures.