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  • 天元讲堂(6.21)Hao Wang:Approximation of the Atomistic Model by Higher Order Continuum Model
  • 浏览量:128 发布人: 十博体育官网:2019-06-11
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    报告题目Approximation of the Atomistic Model by Higher Order Continuum Model

    报告人:Hao Wang(四川大学)

    时间2019621日(星期五)10:0011:00

    地点:10bet国际官方网站本部精正楼(数学楼)307

      

    摘要We derive a nonlinear elasticity model for elastostatic problems from the atomistic description of a crystal lattice in one dimension. The elasticity model is of higher order compared with the well-known Cauchy- Born model in the sense that it utilizes higher order derivatives of the deformation gradient and is thus also called the higher order continuum model. We present a sharp convergence analysis for such higher order continuum model and we show that, compared to the second order accuracy of the Cauchy-Born model, the higher order continuum model is of forth order accuracy with respect to the interatomic spacing in the thermal dynamic limit. The theoretical results are illustrated by our numerical experiments.

      

      

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