The extended Kantorovich method is employed to study the local stress concentrations at the vicinity of free edges in symmetrically layered composite laminates subjected to uniaxial tensile load upon polynomial stress...The extended Kantorovich method is employed to study the local stress concentrations at the vicinity of free edges in symmetrically layered composite laminates subjected to uniaxial tensile load upon polynomial stress functions. The stress fields are initially assumed by means of the Lekhnitskii stress functions under the plane strain state. Applying the principle of complementary virtual work,the coupled ordinary differential equations are obtained in which the solutions can be obtained by solving a generalized eigenvalue problem. Then an iterative procedure is established to achieve convergent stress distributions. It should be noted that the stress function based extended Kantorovich method can satisfy both the traction-free and free edge stress boundary conditions during the iterative processes. The stress components near the free edges and in the interior regions are calculated and compared with those obtained results by finite element method（FEM）. The convergent stresses have good agreements with those results obtained by three dimensional（3D） FEM. For generality, various layup configurations are considered for the numerical analysis. The results show that the proposed polynomial stress function based extended Kantorovich method is accurate and efficient in predicting the local stresses in composite laminates and computationally much more efficient than the 3D FEM.展开更多
The cyclic stress-strain responses (CSSR), Neuber's rule (NR) and cyclic strain-life relation (CSLR) are treated as probabilistic curves in local stress and strain method of low cycle fatigue analysis. The randomn...The cyclic stress-strain responses (CSSR), Neuber's rule (NR) and cyclic strain-life relation (CSLR) are treated as probabilistic curves in local stress and strain method of low cycle fatigue analysis. The randomness of loading and the theory of fatigue damage accumulation (TOFDA) are considered. The probabilistic analysis of local stress, local strain and fatigue life are constructed based on the first-order Taylor's series expansions. Through this method proposed fatigue reliability analysis can be accomplished.展开更多
为了研究砂岩在渗流−应力耦合作用下的变形局部化破坏特征,利用可视化三轴伺服控制试验系统,结合三维数字图像相关技术(three-dimensional digital image correlation,简称3D-DIC),开展不同排水条件下的砂岩三轴压缩试验,对岩石力学、...为了研究砂岩在渗流−应力耦合作用下的变形局部化破坏特征,利用可视化三轴伺服控制试验系统,结合三维数字图像相关技术(three-dimensional digital image correlation,简称3D-DIC),开展不同排水条件下的砂岩三轴压缩试验,对岩石力学、渗流及其变形局部化特性进行分析,并利用电镜扫描对砂岩破坏后其破裂面微观形貌进行分析。结果表明:排水条件下砂岩的峰值强度和弹性模量高于不排水条件下的值,且随着渗透水压增大,砂岩的峰值强度、弹性模量和泊松比均随之增大,出现贯通裂纹的时间点和渗透率最大值出现的时间点则会提前;当渗透水压相同时,不排水条件下砂岩表面变形场云图的局部化带比排水条件下的更宽,即岩石的宏观裂纹更明显,排水条件下水流将岩石内部的矿物颗粒带走,形成孔洞,其破裂面的表面比不排水条件下更光滑,而不排水条件下颗粒表面明显有片状岩屑附着;所有排水条件下径向变形局部化启动点始终高于轴向变形局部化启动点,平均提高了1.23%,变形局部化径向、轴向启动应力水平均随渗透水压的增大而增大,即启动的时间点更提前,排水条件下砂岩的径向启动应力水平、轴向启动应力水平均高于不排水条件下的值,平均分别提高了1.85%和2.21%,渗透水压相同时,不排水条件下启动应力及应力水平受水压的影响比排水条件更明显。展开更多
基金supported by the National Natural Science Foundation of China (Grants 11372145, 11372146, and 11272161)the State Key Laboratory of Mechanics and Control of Mechanical Structures (Nanjing University of Aeronautics and astronautics) (Grant MCMS-0516Y01)+1 种基金Zhejiang Provincial Top Key Discipline of Mechanics Open Foundation (Grant xklx1601)the K. C. Wong Magna Fund through Ningbo University
文摘The extended Kantorovich method is employed to study the local stress concentrations at the vicinity of free edges in symmetrically layered composite laminates subjected to uniaxial tensile load upon polynomial stress functions. The stress fields are initially assumed by means of the Lekhnitskii stress functions under the plane strain state. Applying the principle of complementary virtual work,the coupled ordinary differential equations are obtained in which the solutions can be obtained by solving a generalized eigenvalue problem. Then an iterative procedure is established to achieve convergent stress distributions. It should be noted that the stress function based extended Kantorovich method can satisfy both the traction-free and free edge stress boundary conditions during the iterative processes. The stress components near the free edges and in the interior regions are calculated and compared with those obtained results by finite element method（FEM）. The convergent stresses have good agreements with those results obtained by three dimensional（3D） FEM. For generality, various layup configurations are considered for the numerical analysis. The results show that the proposed polynomial stress function based extended Kantorovich method is accurate and efficient in predicting the local stresses in composite laminates and computationally much more efficient than the 3D FEM.
文摘The cyclic stress-strain responses (CSSR), Neuber's rule (NR) and cyclic strain-life relation (CSLR) are treated as probabilistic curves in local stress and strain method of low cycle fatigue analysis. The randomness of loading and the theory of fatigue damage accumulation (TOFDA) are considered. The probabilistic analysis of local stress, local strain and fatigue life are constructed based on the first-order Taylor's series expansions. Through this method proposed fatigue reliability analysis can be accomplished.
文摘为了研究砂岩在渗流−应力耦合作用下的变形局部化破坏特征,利用可视化三轴伺服控制试验系统,结合三维数字图像相关技术(three-dimensional digital image correlation,简称3D-DIC),开展不同排水条件下的砂岩三轴压缩试验,对岩石力学、渗流及其变形局部化特性进行分析,并利用电镜扫描对砂岩破坏后其破裂面微观形貌进行分析。结果表明:排水条件下砂岩的峰值强度和弹性模量高于不排水条件下的值,且随着渗透水压增大,砂岩的峰值强度、弹性模量和泊松比均随之增大,出现贯通裂纹的时间点和渗透率最大值出现的时间点则会提前;当渗透水压相同时,不排水条件下砂岩表面变形场云图的局部化带比排水条件下的更宽,即岩石的宏观裂纹更明显,排水条件下水流将岩石内部的矿物颗粒带走,形成孔洞,其破裂面的表面比不排水条件下更光滑,而不排水条件下颗粒表面明显有片状岩屑附着;所有排水条件下径向变形局部化启动点始终高于轴向变形局部化启动点,平均提高了1.23%,变形局部化径向、轴向启动应力水平均随渗透水压的增大而增大,即启动的时间点更提前,排水条件下砂岩的径向启动应力水平、轴向启动应力水平均高于不排水条件下的值,平均分别提高了1.85%和2.21%,渗透水压相同时,不排水条件下启动应力及应力水平受水压的影响比排水条件更明显。
