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As application examples, mode-I stress intensity factors of cracked beams are obtained with present approach, the results are shown to agree well with those of Tada's handbook. The physical illustration of deviator strain energy release rate aboutintegral is given in this paper.

最后建立了利用有限元分析结果来计算积分值的基本公式,改进了当积分路径沿外边界积分时,应力张量难以在边界上分解成应力偏张量和应力球张量的这一缺陷。

A theoretical stress tensor model that includes surface tension forces and viscous forces is developed by considering the three-dimensional spatially periodic cells of dodecahedron. Meanwhile, the shear stress and normal stress difference under various shear rates are calculated by computer.

本文在同时考虑表面张力与粘性力的情况下,以三维模型—长菱形十二面体及泡沫的应力张量表达式为基础,得出了泡沫的剪应力及法向应力差表达式,并通过计算机进行了求解,讨论了泡沫粘度、泡沫大小等因素对剪应力及法向应力差的影响。

Based on the total Lagrangian description, general stress and strain iensors corresponding to Kirchhoff siress tensor and Green strain tensor are used in the process of derivation.

推导过程基于完全的增量形式Lagrange描述法,采用与Kirchhoff应力张量和Green应变张量对应的广义应力和广义应变张量进行分析。

It is proved that frame indifference of strain energy founctions Wof a hyperelastic materical implies symmetry of Cauchy stress tensor T,and that frame indifference of T implies symmetry of T.

证明了应变能函数的客观性意味着 Cauchy 应力张量的对称性,以及 Cauchy 应力张量的客观性将包含应变能函数的客观性,从而也导致 Cauchy 应力张量的对称性。

This article mainly simulates gradually damage destruction process of rock, major in determinationg the definition of rock three-dimensional damage tensor, simplify to the damage tensor and obtain its engineering calculation method, and obtains the basic expression form of equivalent stress by equivalent stress assumption, symmetrization to the actual stress, thus obtains construction relation of the festival principle of three-dimensional damage rock mass, finally couples elasticity- plasticity with damage in the finite element equation, with reference to elasticity-plasticity gradually degenerated method thought, simulates rock damage to advance gradually the destruction process in finite element method, draws up elasticity - plasticity and damage coupling two-dimension finite element procedure with the C language in the VC contact surface, by simulating experiment destroyed process, acquires destruction image and the axial load distortion curve of model, agreement with the experimental result.

本文主要模拟岩石渐进损伤破坏过程,确定岩石三维损伤张量的定义,对损伤张量进行简化计算并得出其工程计算方法,采用等效应力假设得出有效应力的基本表达形式,对有效应力进行对称化,得出节理损伤岩体的三维本构关系,在有限元方程中实现弹塑性和损伤耦合;借鉴弹塑性渐进退化方法的思想,采用有限元的方法模拟岩石损伤渐进破坏过程,用C++语言在VC界面编制了弹塑性和损伤耦合的二维有限元程序,通过模拟已有的实验破坏过程,得出模型的破坏图像和轴向荷载变形曲线,与实验结果基本一致。

In the light of balance equation of disc's plane stress problems, the calculation formula of thermal and centrifugal stress for internal fixed loop under the axisymmetric temperature field has been deduced.

深入地探讨了面内热应力、适张度应力、离心应力之间的相互作用关系,揭示了圆锯片锯切失稳及适张度应力能够有效地提高锯切稳定性的机理所在。

Stage 3: When the load was increased beyond P1 (greater than 6000 lb, 26.7KN), tensile stresses in concrete at the tension zone increased until they were greater than the modulus of rupture fc, and cracks developed.

阶段3:当装载在P1 (大于6000磅之外被增加了, 26.7KN),张应力在混凝土在紧张区域增加了,直到他们大于破裂fc的模数,并且被开发的镇压。

With the increase of annealing temperature, the increase of tension strain in films reduces the band gap of ZnO, hence results in the shift of the excitonic peak to lower energy.

随着退火温度的增加,薄膜中的张应力增大,导致带隙宽度减小以及激子复合跃迁峰逐渐向低能方向移动。

With the increase of annealing temperature, the increase of tension strain in films reduces the band gap of ZnO, hence resulting the peaks of excitonic transition shift to the lower energy.

随着退火温度的增加,薄膜中的张应力增大,导致带隙宽度减小以及激子复合跃迁峰逐渐向低能方向移动。

The distribution of thickness rolled and profile are simulated by considering roll system elastic deformation theory, distributions of tension stresses theory and roll thermal crown theory during rolling of wide strip and high speed aluminum foil roughing mill the rolling technology and thermochemistry parameters are tested, etc, the paper verifies above theories.

采用差分法模拟了具有分段冷却装置的宽幅高速铝箔粗轧机轧辊的温度场及热凸度分布。对轧辊热形为特性进行了全面的研究。首次考虑铝箔轧制的辊系弹性变形理论。张应力分布理论及轧辊热变形理论模拟了宽幅高速铝箔粗轧机的轧后断面形状及板形。

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