Premium
Material optimization for controlling interfacial damage in composite structures
Author(s) -
Singh Sukhminder,
Stingl Michael
Publication year - 2021
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.202000344
Subject(s) - displacement field , discretization , solver , finite element method , linear elasticity , optimization problem , elasticity (physics) , mathematical optimization , mathematics , fracture (geology) , computer science , materials science , mathematical analysis , structural engineering , engineering , composite material
Advances in the computational modeling of fracture in solid structures have opened up possibilities for structural design optimization. The rate‐independent structural problem considering damage in its original form is ill‐posed due to the non‐unique nature of the solution, that poses difficulty in using gradient‐based algorithms for material optimization. To overcome this issue, this work introduces a viscosity parameter in the governing state equations and, thus renders the structural problem well‐posed. Material interfaces are modeled using an exponential, initially‐elastic cohesive law and linear elasticity is assumed throughout the structural domain. The time‐dependent fracture problem is solved via incremental variational approach with finite element discretization of the displacement field. Finally, the effectiveness of the method is illustrated by a material optimization example using a smooth gradient‐based solver with first‐order material sensitivities.