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Therearemanyformsofdefinitionaboutthefinitestrainandrotationinthenonlinearcontinuummechanicstheoryatpresent.TheclassicalnonlineartheorybasedonGreen’sstraintensorlacksthedefinitionoffiniterotationcompatiblewiththestrain.Thepolardecompositiontheoremlos… 相似文献
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本文论证有限变形理论中的拖带坐标系描述法和近年来发展的实验应变分析的Moiré方法,在数学基础上是同一.因此从Moiré几何学进一步肯定文[12]提出几何场论的重要实用意义。 相似文献
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The objective stress rate is a rather important problem in mechanics of finitedeformation.In this paper,the objective stress rate in co-moving coordinate is derived byapplying nonlinear geometric field theory of deformation.Problems.such ax largeextension coupled with rotation,and large shear deformation,are exemplified by using thenew formula.Comparing with Jaumann’s stress rate and other formulae presented incurrent literature,the new result appears to be the reasonable one in co-moving coordinatesystem. 相似文献
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I.IntroductionThedecompositionofadeformationgradientfunctionFisafundamentalproblemforfinitedeformationtheory.Greenstraintheoryandpolardecompositiontheorywereemployedbymostscientists,However,thesetheorieshaveallsomeconsiderabledrawbacks.Inl979,ChenZhidadev… 相似文献
5.
A new method of stress analysis in photoelasticity has been developed in this paper. Only the orders of isochromatic fringes and boundary conditions in three sections are adopted to analyse the stress components in these sections. The method requires minimum known data and can quickly analyse stress components. It reduces computational programs. 相似文献
6.
陈至达 《应用数学和力学(英文版)》1984,5(5):1581-1585
Various exprressions of three-dimensional J integral are proposed. We derive here three-dimensional J integral by means of general potential energy principle and Green's theomem. Its physical meaning and application are shown in the paper, the results are true both for infinitesimal and finite deformation. 相似文献
7.
分形(fractal)几何与岩石断裂 总被引:12,自引:0,他引:12
岩石断口的不规则性可以统计地认为具有自相似性,由此本文应用新几何——分形(fractal) 几何来描述这种不规则性。建立了穿晶以及沿晶界和穿晶相偶合的微观断裂fractal 模型,用电镜和光学显微镜观察了大量岩石断口的 fractal 特征,得到了 fractal 维数与岩石宏观断裂力学量之间的初步对应关系。 相似文献
8.
三维J积分的能量原理 总被引:1,自引:1,他引:0
目前三维J积分存在着一些不同观点的表达式,本文利用普遍的势能原理和Green定理导出三维J积分的表达式。文中并简要说明它的物理意义和工程应用方法;结果对于微小变形和大变形均适用。 相似文献
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非对称的非局部塑性理论 总被引:2,自引:0,他引:2
从非局部连续场论出发,假定形变与局部转动均属微小,当存在体力矩出现非对称应力场时,设对称应力的能量函数和非对称应力的能量函数可以独立计算。基于热力学原理和屈服面的概念,建立了一种新的非对称-非局部弹塑性力学理论。 相似文献
10.
EFFECTIVE STRESS LAWS FOR MULTI_POROSITY MEDIA 总被引:2,自引:0,他引:2
Theconceptofeffectivestressisveryusefultodescribetheeffectofporefluidpressureonthemechanicalresponseofporousmedia.Terzaghifoundthefollowingfacts:1)Iftheexternalstaticpressuresσ1=σ2=σ3andtheporepressureincreasethesameamountwiththepressures,thevolumeof… 相似文献