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Bilayer plates are compound materials that exhibit large bending deformationswhen exposed to environmental changes that lead to different mechanicalresponses in the involved materials. In this article a new numerical methodwhich is suitable for simulating the isometric deformation induced by a givenmaterial mismatch in a bilayer plate is discussed. A dimensionally reducedformulation of the bending energy is discretized generically in an abstractsetting and specified for discrete Kirchhoff triangles; convergence towards thecontinuous formulation is proved. A practical semi-implicit discrete gradientflow employing a linearization of the isometry constraint is proposed as aniterative method for the minimization of the bending energy; stability and abound on the violation of the isometry constraint are proved. The incorporationof obstacles is discussed and the practical performance of the method isillustrated with numerical experiments involving the simulation of largebending deformations and investigation of contact phenomena.

Stable Gradient Flow Discretizations for Simulating Bilayer Plate Bending with Isometry and Obstacle Constraints