Stress Wave Field Near a Notched Boundary in Anisotropic Plates under Impulsive Loading

The stress distribution near a rectilinear boundary and a boundary with a notch of different depths in an anisotropic plate is analyzed. The plate boundary is under the action of a surface or embedded impulsive source. The results presented have been obtained using the dynamic photoelastic method for optically sensitive orthotropic plates. The results for orthotropic and isotropic plates with different ratios of notch depth to wavelength are analyzed     

各向异性弹性体中矩形孔边缘应力分布

推导了各向异性平面弹性体中矩形孔洞边缘的应力分布公式并给出了数值计算结果。工程中会遇到矩形孔洞的问题，而矩形孔导致的应力集中增加了工程问题的复杂性。目前尚没有简单实用的公式计算矩形孔在各向异性体中应力的分布。本文采用复变函数保角变换的方法推导了矩形孔边缘的应力公式。在利用本文给出的方法，可以计算矩形孔在不同性质的各向异性材料中，承受任意的双轴荷载下孔边缘的应力分布情况。     

刚塑性矩形板在冲击载荷作用下的一个新的界限

通过加权残数法，给出了考虑有限变形时刚塑性板在冲击载荷下的能量守恒方程。广义屈服条件由Mij和Nij表示，通过将非光滑屈服函数用其内切和外接光滑函数代替，从而得到板位移的上、下界限解。采用此方法对一矩形板受横向冲击载荷进行了分析，计算结果与有关文献符合较好。     

无单元法求解正交各向异性板自由振动问题

无单元法是一种新出现的数值方法。本文对无单元法的数学基础—滑动最小二乘法进行了详细的研究,推导了无单元法的形函数,并对一些关键问题,如权函数的选取,正交基函数,边界条件,数值实现方法等得出了研究结论。用无单元法研究了正交各向异性板的自由振动问题,由动力学变分原理和滑动最小二乘法导出了正交各向异性板的无单元法质量矩阵和刚度矩阵,编制了相应的计算程序,通过计算实例验证了该方法的有效性。     

有面内张力和剪力的四边支承各向异性平行四边形板振动、屈曲和弯曲的精确解

给出了弹性地基上四边支承的各向异性平行四边形板在面内张力和剪力作用下自由振动、屈曲和弯曲问题的精确的解析解。此解是利用叠加法得到的重富立叶级数解。与现有结果的比较验证了解的精确性。并给出了一些固定边和简支边组合的多种倾斜角的平行四边形板的自由振动、屈曲和弯曲的数值结果。     

Stress Distribution in an Orthotropic Plate with Circular Holes under Impulsive Loading

The photoelastic method is used to analyze the stress–strain state induced by an impulsive load in an orthotropic plate with circular holes. The distribution of dynamic stress concentration factors along the periphery of the holes is studied, and stresses and strains in representative sections are determined     

Focusing and Scattering of a Nonstationary Wave by the Free Surface of an Anisotropic Elastic Medium

The interaction of a plane discontinuous wave with the free curvilinear surface of an anisotropic elastic medium is studied. The ray-path method is used to describe the wavefront. The nonlinear Snell's equations are solved by combining Newton's method and the parameter continuation algorithm. The cases of focusing and scattering of wave rays are studied     

用动光弹性法研究材料引入的分配层对应力波传播的影响

本文用动态光弹性模拟试验分析方法，观察和分析研究了材料不同的分配层对应力波在结构中传播的影响，比较分析了冲击荷载产生的应力波在洞室结构顶部的传播及相互过程，得到指定点处的应力—时间关系曲线，为结构震塌机理的进一步的研究和防护结构的改进提供参考。     

冲击作用下含孔洞纤维增强复合材料平板的动力学实验与数值研究

作为复合材料动力学实验与数值研究的应用实例 ,实验研究采用正交异性动态光弹性方法 ,数值分析运用各向异性介质的时域边界元方法。纤维增强光弹性复合材料平板被用来模拟含孔洞的正交异性半无限域 ,用小口径步枪施加与纤维方向成 0及 90两个方向的冲击载荷 ,在正交异性动态光弹性实验中记录了应力波在孔洞周围的传播、反射与绕射过程 ,此过程被进一步转换成应力分量的变化时程 ,并与相应的时域边界元方法的数值分析结果进行了比较。     

Stress Concentration in an Orthotropic Plate with a Circular Hole under Dynamic Loading

The paper sets forth a photoelastic method for the determination of the dynamic stress concentration factor near a hole in an orthotropic plate. The stress distribution at the periphery of a circular hole is analyzed. The stress concentration factors for orthotropic and isotropic plates under dynamic and statical loading are compared     

应力波载荷作用下材料断裂韧性测试技术研究进展

本文对应力波载荷（加载速率ＫＩ≥１０＾６ＭＰａ√ｍ／ｓ）作用下,动态断裂韧性测试技术中的非光学方法进行了较全面和较系统的研究,比较了各自的优缺点,并对不同方法的可靠性和适应范围进行了分析。     

应力波载作用下材料断裂韧性测试技术研究进展

本文对应力波载荷(加载速率KI≥105MPa m/s)作用下,动态断裂韧性测试技术中的非光学方法进行了较全面和较系统的研究,比较了各自的优缺点,并对不同方法的可靠性和适用范围进行了分析．     

Stress Concentration Near an Elliptic Crack in the Interface Between Elastic Bodies under Steady-State Vibrations

The paper addresses the three-dimensional problem on steady-state vibrations of an elastic body consisting of two perfectly joined dissimilar half-spaces with an elliptic mode I crack located in one of the half-spaces normally to the interface. The problem is reduced to a boundary integral equation for the crack opening function. The integration domain of the equation is bounded by the crack domain, and the interaction between the crack and the interface is described by a regular kernel. The equation is solved using the mapping method. Numerical results are obtained for the case where the surfaces of the elliptic crack are subjected to harmonic loading with constant amplitude. The dependences of the stress intensity factors on the wave number are presented for various relationships among the mechanical constants that ensure the absence of near-surface waves