-

 

 

 




Optimization Online





 

Optimal design of multiphase composites under elastodynamic loading

Rouhollah Tavakoli(rtav20***at***gmail.com)

Abstract: An algorithm is proposed to optimize the performance of multiphase structures (composites) under elastodynamic loading conditions. The goal is to determine the distribution of material in the structure such that the time-averaged total stored energy of structure is minimized. A penalization strategy is suggested to avoid the checkerboard instability, simultaneously to generate near 0-1 topologies. As a result of this strategy, the solutions of presented algorithm are sufficiently smooth and possess the regularity of $H^1$ function space. A new way for the adjoint sensitivity analysis of the corresponding PDE-constrained optimization problem is presented. It is general and can be easily applied to a vide range of alternative problems. The success of introduced algorithm is studied by numerical experiments on a two-dimensional model problem for different numbers of phases ranging from 2 to 5. According to numerical results, the objective functional is reduced monotonically with iterations. It is reduced more than an order of magnitude after a few iterations of the presented algorithm. Moreover, the final topologies at the optimal solutions are near 0-1. The dynamic behavior of optimal designs are compared to initial ones to show the impact of optimization on the performance of structures.

Keywords: Adjoint sensitivity analysis; Multimaterial topology optimization; Optimal design; Regularization; Stress waves

Category 1: Applications -- Science and Engineering

Category 2: Applications -- Science and Engineering (Civil and Environmental Engineering )

Category 3: Applications -- Science and Engineering (Mechanical Engineering )

Citation: preprint 2015

Download: [PDF]

Entry Submitted: 07/11/2015
Entry Accepted: 07/11/2015
Entry Last Modified: 07/11/2015

Modify/Update this entry


  Visitors Authors More about us Links
  Subscribe, Unsubscribe
Digest Archive
Search, Browse the Repository

 

Submit
Update
Policies
Coordinator's Board
Classification Scheme
Credits
Give us feedback
Optimization Journals, Sites, Societies
Mathematical Optimization Society