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弯曲厚矩形板精确角点静力条件的推导 被引量:3
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作者 付宝连 《应用数学和力学》 EI CSCD 北大核心 1994年第6期565-570,共6页
本文根据最小势能原理 ̄[1]严格地导出弯曲厚矩形板精确的角点静力条件.
关键词 条件 厚矩形板 弯曲
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围压和裂隙水压力对岩石中椭圆裂纹初始开裂的影响 被引量:8
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作者 张敦福 朱维申 +1 位作者 李术才 郭彦双 《岩石力学与工程学报》 EI CAS CSCD 北大核心 2004年第z2期4721-4725,共5页
根据线弹性理论,导出了椭圆裂纹边缘的切向应力的表达式。分别给出了单向压力、双向压力、单向压力与裂隙水压力共同作用3种情况下椭圆边缘开裂点的位置、开裂方向和最大切向拉应力值。根据最大拉应力理论,给出了最大切向拉应力和临界... 根据线弹性理论,导出了椭圆裂纹边缘的切向应力的表达式。分别给出了单向压力、双向压力、单向压力与裂隙水压力共同作用3种情况下椭圆边缘开裂点的位置、开裂方向和最大切向拉应力值。根据最大拉应力理论,给出了最大切向拉应力和临界载荷公式。结果表明,开裂点、开裂角、最大切向拉应力和临界载荷随椭圆的纵横轴比和倾角的不同而变化,由此可得到最危险的倾角。 展开更多
关键词 岩石 椭圆裂纹 围压 裂隙水压 开裂 开裂 临界载荷
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Petrel2ANSYS: Accessible software for simulation of crustal stress fields using constraints provided by multiple 3D models employing different types of grids 被引量:6
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作者 LIU Yu-yang PAN Mao LIU Shi-qi 《Journal of Central South University》 SCIE EI CAS CSCD 2019年第9期2447-2463,共17页
Crustal stresses play an important role in both exploration and development in the oil and gas industry.However,it is difficult to simulate crustal stress distributions accurately,because of the incompatibilities that... Crustal stresses play an important role in both exploration and development in the oil and gas industry.However,it is difficult to simulate crustal stress distributions accurately,because of the incompatibilities that exist among different software.Here,a series of algorithms is developed and integrated in the Petrel2ANSYS to carry out two-way conversions between the 3D attribute models that employ corner-point grids used in Petrel and the 3D finite-element grids used in ANSYS.Furthermore,a modified method of simulating stress characteristics and analyzing stress fields using the finite-element method and multiple finely resolved 3D models is proposed.Compared to the traditional finite-element simulation-based approach,which involves describing the heterogeneous within a rock body or sedimentary facies in detail and simulating the stress distribution,the single grid cell-based approach focuses on a greater degree on combining the rock mechanics described by 3D corner-point grid models with the finely resolved material characteristics of 3D finite-element models.Different models that use structured and unstructured grids are verified in Petrel2ANSYS to assess the feasibility.In addition,with minor modifications,platforms based on the present algorithms can be extended to other models to convert corner-point grids to the finite-element grids constructed by other software. 展开更多
关键词 numerical simulation of stress fields corner-point grids finite-element grids PETREL ANSYS
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Tangential stress analysis of myocardial wall by finite element method
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作者 Guan Qiu Jiang Cao +2 位作者 Wang Xiaoyan Chen Shengyong Guan Fang 《Engineering Sciences》 EI 2011年第1期84-89,共6页
A novel method is presented to build the triangular surface model and calculate the tangential stress and strain of myocardial wall ,which can be further used to reflect the left ventricle twisting—a sensitive index ... A novel method is presented to build the triangular surface model and calculate the tangential stress and strain of myocardial wall ,which can be further used to reflect the left ventricle twisting—a sensitive index to assess the systolic and diastolic function of heart. Firstly, a point distribution model is used to obtain the feature points of the ventricular surface in medical images. Secondly, the surface model is constructed by triangular mesh, and then the subdivision strategy is introduced to refine the model. Thirdly, plane projection and finite element method(FEM) are applied to calculate the tangential stress and strain.Finally, the distribution of tangential modulus of elasticity is discussed. The stimulation results show that the proposed method can be used to compute the tangential stress and strain of myocardial wall effectively and the computing result is consistent with the results mentioned in the literatures. 展开更多
关键词 FEM stress and strain of myocardial wall tangential modulus of elasticity SUBDIVISION
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非均质梯度功能材料复合结构的Kantorovich宏细观精化解法 被引量:7
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作者 李永 宋健 张志民 《中国科学(E辑)》 CSCD 北大核心 2003年第1期29-41,共13页
研究的梯度功能材料复合结构,为一个有着实际应用背景的由圆转轴局部固支的三角形悬臂板结构,采用Kantorovich解法及二类独立变量广义变分原理建立板的弯曲控制方程,并结合广义Euler方程和广义自然边界条件求解.与以往问题大不相同的是... 研究的梯度功能材料复合结构,为一个有着实际应用背景的由圆转轴局部固支的三角形悬臂板结构,采用Kantorovich解法及二类独立变量广义变分原理建立板的弯曲控制方程,并结合广义Euler方程和广义自然边界条件求解.与以往问题大不相同的是,考虑了3个广义力学因素和FGM宏细观非均质性,提出了理论初值问题化为半解析边值问题精化求解的新概念,研究了梯度应力场的参加效应.由此,拓展为Kantorovich宏细观精化新解法. 展开更多
关键词 非均质梯度功能材料 复合结构 Kantorovich宏细观精化解法 广义变分原理 角点力 参加效应 梯度应
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Modeling complex crack problems using the three-node triangular element fitted to numerical manifold method with continuous nodal stress 被引量:6
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作者 YANG YongTao XU DongDong +1 位作者 SUN GuanHua ZHENG Hong 《Science China(Technological Sciences)》 SCIE EI CAS CSCD 2017年第10期1537-1547,共11页
A three-node triangular element fitted to numerical manifold method with continuous nodal stress, called Trig_3-CNS(NMM)element, was recently proposed for linear elastic continuous problems and linear elastic simple c... A three-node triangular element fitted to numerical manifold method with continuous nodal stress, called Trig_3-CNS(NMM)element, was recently proposed for linear elastic continuous problems and linear elastic simple crack problems. The Trig_3-CNS(NMM) element can be considered as a development of both the Trig_3-CNS element and the numerical manifold method(NMM).Inheriting all the advantages of Trig_3-CNS element, calculations using Trig_3-CNS(NMM) element can obtain higher accuracy than Trig_3 element without extra degrees of freedom(DOFs) and yield continuous nodal stress without stress smoothing. Inheriting all the advantages of NMM, Trig_3-CNS(NMM) element can conveniently treat crack problems without deploying conforming mathematical mesh. In this paper,complex problems such as a crucifix crack and a star-shaped crack with many branches are studied to exhibit the advantageous features of the Trig_3-CNS(NMM) element. Numerical results show that the Trig_3-CNS(NMM) element is prominent in modeling complex crack problems. 展开更多
关键词 numerical manifold method Trig3-CNS (NMM) element stress intensity factor complex crack problems
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