Stable gradient flow discretizations for simulating bilayer plate bending with isometry and obstacle constraints

Abstract Bilayer plates are compound materials that exhibit large bending deformations when exposed to environmental changes lead different mechanical responses in the involved materials. In this article a new numerical method is suitable for simulating isometric deformation induced by given material mismatch bilayer plate discussed. A dimensionally reduced formulation of energy discretized generically an abstract setting and specified discrete Kirchhoff triangles; convergence towards continuous proved. practical semi-implicit gradient flow employing linearization isometry constraint proposed as iterative minimization energy; stability bound on violation The incorporation obstacles discussed performance illustrated with experiments involving simulation investigation contact phenomena.