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学术活动
Gamma-convergent LDG method for large bending deformations of bilayer plates
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报告人:
杨朔 副教授 (北京雁栖湖应用数学研究院)
邀请人:
李文博 副研究员
题目:
Gamma-convergent LDG method for large bending deformations of bilayer plates
时间地点:
14:00-15:00 June 22(Monday), Z301
摘要:

Bilayer plates are slender structures made of two thin layers of different materials. They react to environmental stimuli and undergo large bending deformations with relatively small actuation. The reduced model is a constrained minimization problem for the second fundamental form, with a given spontaneous curvature that encodes material properties, subject to an isometry constraint. We design a local discontinuous Galerkin (LDG) method, which imposes a relaxed discrete isometry constraint and controls deformation gradients at barycenters of elements. We prove Gamma-convergence of LDG, design a fully practical gradient flow, which gives rise to a linear scheme at every step, and show energy stability and control of the isometry defect. We extend the Gamma-convergence analysis to piecewise quadratic creases. We also illustrate the performance of the LDG method with several insightful simulations of large deformations, one including a curved crease.