Abstract
We address material nonlinear topology optimization problems considering the Drucker–Prager strength criterion by means of a surrogate nonlinear elastic model. The nonlinear material model is based on a generalized J2 deformation theory of plasticity. From an algorithmic viewpoint, we consider the topology optimization problem subjected to prescribed energy, which leads to robust convergence in nonlinear problems. The objective function of the optimization problem consists of maximizing the strain energy of the system in equilibrium subjected to a volume constraint. The sensitivity analysis is quite effective and efficient in the sense that there is no extra adjoint equation. In addition, the nonlinear structural equilibrium problem is solved through direct minimization of the structural strain energy using Newton’s method with an inexact line search strategy. Four numerical examples demonstrate features of the proposed nonlinear topology optimization framework considering the Drucker–Prager strength criterion.
Original language | English (US) |
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Pages (from-to) | 3205-3227 |
Number of pages | 23 |
Journal | Structural and Multidisciplinary Optimization |
Volume | 62 |
Issue number | 6 |
DOIs | |
State | Published - Dec 2020 |
Externally published | Yes |
All Science Journal Classification (ASJC) codes
- Software
- Control and Systems Engineering
- Computer Science Applications
- Computer Graphics and Computer-Aided Design
- Control and Optimization
Keywords
- ABAQUS UMAT
- Drucker–Prager strength criterion
- Elasticity
- Nonlinear topology optimization
- Surrogate model