Plane Theory(平面理论)研究综述
Plane Theory 平面理论 - Moreover, we combine the semiplane theory and we obtain the stress distribution on the coal pillar’s bedrock and the strengthening control area from the “change point” position along a 21 m horizontal line. [1] The constitutive law for mortar is based on the microplane theory, while the aggregate is assumed to be linear elastic. [2] In this paper, an existing constitutive model based on microplane theory is numerically implemented and the effects of stress increment, different numerical integration formulas, and loading direction on the thermomechanical response of shape memory alloy is investigated through superelastic and shape memory proportional and nonproportional loadings. [3] The structural static responses are computed numerically via the isoparametric finite element steps in association with Reddy’s higher order mid-plane theory. [4] The results that we have obtained previously when solving the boundary values problems of the plane theory of elasticity in a rectangular region form the basis for our work. [5] The problem of a general, symmetric contact, between elastically similar bodies, and capable of idealisation using half-plane theory, is studied in the presence of interfacial friction. [6] To do so, a constitutive model based on Microplane theory is utilized and implemented through the finite element to express the constitutive characteristics of Nitinol. [7] The primary focus of this contribution is on the situations where the classical results, which are normally obtained within the framework of plane theory of elasticity, lead to peculiar results. [8]此外，我们结合半平面理论，从“变化点”位置沿21 m水平线得到煤柱基岩和加固控制区的应力分布。 [1] 砂浆的本构法基于微平面理论，而骨料假定为线弹性。 [2] 本文对现有的基于微平面理论的本构模型进行数值实现，通过超弹性和形状记忆比例和非比例加载，研究应力增量、不同数值积分公式和加载方向对形状记忆合金热力学响应的影响。 [3] 结构静态响应通过与 Reddy 的高阶中平面理论相关的等参有限元步骤进行数值计算。 [4] 我们之前在求解矩形区域弹性平面理论的边值问题时获得的结果构成了我们工作的基础。 [5] 在存在界面摩擦的情况下研究了弹性相似物体之间的一般对称接触问题，并且能够使用半平面理论进行理想化。 [6] 为此，利用基于微平面理论的本构模型并通过有限元实现，以表达镍钛诺的本构特征。 [7] 这一贡献的主要焦点是通常在平面弹性理论框架内获得的经典结果导致特殊结果的情况。 [8]