Developing a four-dimensional lattice spring model for mechanical responses of solids
Developing a four-dimensional lattice spring model for mechanical responses of solids
复制标题
DOI：
10.1016/j.cma.2016.11.034
复制
发表时间：
2017-03
影响因子：
7.2
通讯作者：
G. Zhao
中科院分区：
文献类型：
--
作者：
G. Zhao
在这项工作中，建立了一个用于研究固体力学响应的四维晶格弹簧模型。我们的研究结果表明，在三维空间中定义的经典晶格弹簧模型的泊松比限制可以通过引入额外的四维相互作用来释放。四维点阵弹簧模型仅采用中心相互作用，无需传统方法中对刚体旋转或非中心/非局部相互作用的增量积分进行特殊处理，可以很自然地表示固体的非线性动力响应。通过几个算例说明了该模型的适用性。
In this work, a four-dimensional lattice spring model is developed for studying the mechanical responses of solids. Our results indicate that the Poisson’s ratio limitation of the classical lattice spring model defined in three-dimensional space can be released by introducing an extra fourth-dimensional interaction. The fourth-dimensional lattice spring model adopts central interactions only, and it can naturally represent the nonlinear dynamic responses of solids without special treatment of rigid body rotation or incremental integration of non-central/non-local interaction as used in the traditional methods. Applicability of the model is illustrated from a few numerical examples.