An Optimal Control Problem in Polyconvex Hyperelasticity

DOI10.1137/120876629zbMath1298.49065OpenAlexW2160193658MaRDI QIDQ3192127

Martin Weiser, Lars Lubkoll, Anton Schiela

Publication date: 26 September 2014

Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/120876629

zbMATH Keywords

optimal controlpolyconvex elasticityimplant shape design

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Nonlinear elasticity (74B20) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Optimization of shapes other than minimal surfaces (49Q10) Existence theories for optimal control problems involving partial differential equations (49J20) Discrete approximations in optimal control (49M25) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21)

Related Items

Robust optimal control of stochastic hyperelastic materials, Algorithms for Optimal Control of Elastic Contact Problems with Finite Strain, A locking-free nonconforming FEM for optimal control problems governed by linear elasticity equations, Weakly symmetric stress equilibration for hyperelastic material models, Adjoint-based optimal control of contractile elastic bodies. Application to limbless locomotion on frictional substrates, Kaskade 7 -- a flexible finite element toolbox, Optimal Control of Soft Materials Using a Hausdorff Distance Functional, Steady systems of PDEs. Two examples from applications, Optimal control of static contact in finite strain elasticity