A robust Riks-like path following method for strain-actuated snap-through phenomena in soft solids
A robust Riks-like path following method for strain-actuated snap-through phenomena in soft solids
复制标题
一种鲁棒的类似 Riks 的路径跟踪方法，用于解决软固体中应变驱动的突跳现象
DOI：
10.1016/j.cma.2017.05.010
复制
发表时间：
2017-08
影响因子：
7.2
通讯作者：
Shao Q.
中科院分区：
文献类型：
--
作者：
Liu Y.;Liang S.Y.;Huang Q.;Hu H.;Zheng Y.G.;Zhang H.W.;Shao Q.
本文提出了一种实用的、鲁棒的Riks-like路径跟踪方法，用于自动跟踪软固体中初始有限应变诱发突变现象的非线性平衡路径。变形梯度被分解成一个弹性部分和一个初始应变部分，其中的初始应变的特点是通过一个规定的模式张量和一个未知的应变因子描述的大小。在非线性有限元（FE）的解决方案，等效体力成正比的增量的应变因子，这是由于其依赖于变形的配置和应力在每个迭代步骤中变化。位移和应变因子增量作为未知数引入线性化方程，这允许预测的临界平衡状态之前和之后的快速通过。构造了几个具有不同结构和应变历史的例子，包括多层梁和薄膜-衬底系统，这些例子证明了该算法捕获应变引起的突变现象的有效性和鲁棒性。
In this paper, a practical and robust Riks-like path following method is developed to automatically trace the nonlinear equilibrium path for initial-finite-strain-induced snap-through phenomena in soft solids. The deformation gradient is decomposed into an elastic part and an initial-strain part, where the initial strain is characterized through a prescribed pattern tensor and an unknown strain factor describing the magnitude. In the non-linear finite element (FE) solution scheme, an equivalent body force proportional to the increment of the strain factor is derived, which varies in each iteration step due to its dependence on deformed configuration and stress. Both the displacement and the strain factor increments are introduced as unknowns in the linearized equation, which permits to predict the critical equilibrium states before and after the snap-through. Several examples with various configurations and strain histories are constructed, including multilayer beams and film–substrate systems, which demonstrate the effectiveness and robustness of the algorithm to capture the strain-induced snap-through phenomena.
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DOI：
10.1016/s0020-7683(02)00352-9
发表时间：
2002-09-01
影响因子：
3.6
作者：
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通讯作者：
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影响因子：
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影响因子：
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通讯作者：
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影响因子：
2.6
作者：
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通讯作者：
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影响因子：
4.1
作者：
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通讯作者：
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