But forcomplex fluids, this would result in rather different kinds of models.This is one of the starting points of multiscale modeling. Where W denotes the strain energy density, as this stress measure is conjugate to the Green–Lagrange strain tensor. Importantly, this representation of the second Piola–Kirchhoff stress tensor enables material […]

To demonstrate the capability of this framework, three prescribed deformation profiles are targeted by three distinct optimization procedures. In all instances, the deformation profile is successfully targeted. To verify the accuracy of the optimized structures, high-fidelity single-scale simulations are performed. In each case, excellent agreement is noted between the high-fidelity […]