Journal
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING
Volume 122, Issue 8, Pages 1889-1910Publisher
WILEY
DOI: 10.1002/nme.6604
Keywords
adjoint sensitivity analysis; energy absorption; metamaterials; periodic boundary conditions; von Mises plasticity
Funding
- National Science Foundation (NSF) I/UCRC Center for Novel High Voltage/Temperature Materials and Structures [IIP-1362146]
- NSF [MOMS-1926353]
- Zhejiang University-University of Illinois at Urbana-Champaign Institute Research Program
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This article introduces a computational design framework for obtaining three-dimensional periodic elastoplastic architected materials with enhanced performance, using a nonlinear finite element model and path-dependent adjoint sensitivity formulation for optimization. The optimization problem is parametrized using the solid isotropic material penalization method to produce materials with enhanced performance.
This article introduces a computational design framework for obtaining three-dimensional (3D) periodic elastoplastic architected materials with enhanced performance, subject to uniaxial or shear strain. A nonlinear finite element model accounting for plastic deformation is developed, where a Lagrange multiplier approach is utilized to impose periodicity constraints. The analysis assumes that the material obeys a von Mises plasticity model with linear isotropic hardening. The finite element model is combined with a corresponding path-dependent adjoint sensitivity formulation, which is derived analytically. The optimization problem is parametrized using the solid isotropic material penalization method. Designs are optimized for either end compliance or toughness for a given prescribed displacement. Such a framework results in producing materials with enhanced performance through much better utilization of an elastoplastic material. Several 3D examples are used to demonstrate the effectiveness of the mathematical framework.
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