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• W3132772053 endingPage "113729" @default.
• W3132772053 startingPage "113729" @default.
• W3132772053 abstract "A topology optimization method is presented for the design of periodic microstructured materials with prescribed homogenized nonlinear constitutive properties over finite strain ranges. Building upon an existing computational homogenization method for periodic materials undergoing finite strain, generalized sensitivity equations are derived for the gradient-based topology optimization of periodic unit cells that account for the nonlinear homogenized response of the unit cell. The mechanical model assumes linear elastic isotropic materials, geometric nonlinearity at finite strain, and a quasi-static response. The optimization problem is solved by a nonlinear programming method and the sensitivities computed via the adjoint method. Several topology optimization examples are presented to evaluate the performance of the developed method. Furthermore, two-dimensional structures identified using this optimization method are additively manufactured and their uniaxial tensile strain response compared with the numerically predicted behavior. The optimization approach herein enables the design and development of lattice-like materials with prescribed nonlinear effective properties, for use in myriad potential applications, ranging from stress wave and vibration mitigation to soft robotics." @default.
• W3132772053 created "2021-03-01" @default.
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• W3132772053 date "2021-06-01" @default.
• W3132772053 modified "2023-10-18" @default.
• W3132772053 title "Topology optimization of nonlinear periodically microstructured materials for tailored homogenized constitutive properties" @default.
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• W3132772053 doi "https://doi.org/10.1016/j.compstruct.2021.113729" @default.
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