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首页> 外文期刊>Journal of thermal stresses >NON-LINEAR THERMAL STABILITY ANALYSIS OF SMA WIRE-EMBEDDED HYBRID LAMINATED COMPOSITE TIMOSHENKO BEAMS ON NON-LINEAR HARDENING ELASTIC FOUNDATION
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NON-LINEAR THERMAL STABILITY ANALYSIS OF SMA WIRE-EMBEDDED HYBRID LAMINATED COMPOSITE TIMOSHENKO BEAMS ON NON-LINEAR HARDENING ELASTIC FOUNDATION

机译：非线性硬化弹性地基上SMA丝夹杂层合复合TIMOSHENKO梁的非线性热稳定性分析

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摘要

In the present study, non-linear thermal post-buckling analysis of hybrid laminated composite Timoshenko beams embedded with the shape memory alloy (SMA) wires resting on a non-linear hardening elastic foundation were studied. Mechanical properties of composite media are considered temperature-dependent. The theory of Timoshenko beams and von Karman's strain-displacement relations are applied simultaneously in virtual work principles to derive the system of non-linear equilibrium equations. Various types of boundary conditions such as clamped, simply supported, and rolled edges were studied for edge supports. Generalized Differential Quadrature Method (GDQM) was utilized to discrete the equilibrium equations in space domain. Different types of lay-ups, such as symmetric and asymmetric, were considered. Post-buckling paths are depicted for different values of non-linear elastic foundation parameters, volume fractions, pre-strains of the SMA fibers, and boundary conditions. The one-dimensional thermo-mechanical constitutive law suggested by Brinson [1] is applied to model the SMA wires. Numerical results make it possible to recognize that increases in the volume fraction and pre-strain of SMA lead to a dramatic enhancement in thermal buckling and post-buckling capacity of the beam. Pre-buckling, buckling, and post-buckling behavior of the beam are totally different and this is due to variations among critical buckling, austenite start and finish temperatures. Due to the recovery stress of SMA wires, particular consequences are shown.
机译：在本研究中，研究了在非线性硬化弹性基础上嵌入形状记忆合金（SMA）线的混合层合复合Timoshenko梁的非线性热后屈曲分析。复合介质的机械性能被认为是温度依赖性的。蒂莫申科梁理论和冯·卡曼的应变位移关系被同时应用到虚拟工作原理中，以推导非线性平衡方程组。对于边缘支撑，研究了各种类型的边界条件，例如夹紧，简单支撑和轧制边缘。利用广义微分正交方法（GDQM）在空间域中离散平衡方程。考虑了不同类型的叠加，例如对称和不对称。针对非线性弹性基础参数，体积分数，SMA纤维的预应变和边界条件的不同值，描述了屈曲后的路径。由布林森[1]提出的一维热机械本构定律被用于对SMA线进行建模。数值结果使我们有可能认识到，SMA的体积分数和预应变的增加会导致梁的热屈曲和屈曲后能力显着提高。梁的预屈曲，屈曲和后屈曲行为完全不同，这是由于临界屈曲，奥氏体开始和结束温度之间的差异所致。由于SMA线的回复应力，显示了特殊的后果。

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