【摘 要】
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Cellular automaton has been widely used in various fields.In this study,a numerical algorithm based on the concept of cellular automaton is proposed to mode
【机 构】
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SchoolofManufacturingScienceandEngineering,SouthwestUniversityofScienceandTechnology,Mianyang,Sichua
【出 处】
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第五届亚太国际工程中计算方法学术会议暨第11届全国工程计算方法学术会议
论文部分内容阅读
Cellular automaton has been widely used in various fields.In this study,a numerical algorithm based on the concept of cellular automaton is proposed to model solid mechanics.By this method,an elastic domain is discretized by a set of nodes distributed randomly in the domain.It is defined that each node has an influence zone which covers the node itself and its neighbouring nodes.To simplify the formulation for 2-dimansional problems,the influence zone is delineated by a virtual polygon which consists of several triangles.According to the local rule of the present cellular automaton method,the displacement of a typical node is assumed to be dependant on two factors,viz.the displacement of the neighbouring nodes and the force applied in the corresponding influence zone.In terms of force and displacement,the relationship between the typical node and its neighbours is formulated by adopting the interpolation function used in the conventional finite element method.To model an elastostatics problem,the proposed cellular automaton method obtains the solution through an evolution approach.The whole solving procedure is divided into a series of steps and the displacements of all the nodes are updated in series or in parallel in each step.Such an evolution proceeds automatically till all the displacements converge.The current cellular automaton method is a kind of meshless algorithm since it stems from random nodes instead of mesh.The correctness of the proposed method is verified by numerical examples.The results show that there is a great potential to extend cellular automaton to the simulation of solid mechanics.
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