Skip to main content
U.S. Department of Energy
Office of Scientific and Technical Information

Response tailoring of elasto-plastic trusses

Journal Article · · Structural and Multidisciplinary Optimization
 [1];  [2];  [3];  [4]
  1. Lund Univ. (Sweden)
  2. Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States)
  3. Technical Univ. of Denmark, Lyngby (Denmark)
  4. Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States); Univ. of Illinois at Urbana-Champaign, IL (United States)
In this work we tailor the response of trusses loaded beyond their yield limit. The truss structures are modeled using finite strain theory and rate-independent elasto-plasticity. We design trusses with a tailored mechanical response that is between “elastic” and “elastic-ideal-plastic” subject to the volume constraint. The design updates are generated by the gradient-based Method of Moving Asymptotes (MMA) solver and the sensitivities of the response functions are computed using a path-dependent adjoint sensitivity analysis. The computations are performed in Matlab.
Research Organization:
Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States)
Sponsoring Organization:
USDOE
Grant/Contract Number:
AC52-07NA27344
OSTI ID:
2563625
Alternate ID(s):
OSTI ID: 2572205
Report Number(s):
LLNL--JRNL-863793
Journal Information:
Structural and Multidisciplinary Optimization, Journal Name: Structural and Multidisciplinary Optimization Journal Issue: 4 Vol. 68; ISSN 1615-147X; ISSN 1615-1488
Publisher:
SpringerCopyright Statement
Country of Publication:
United States
Language:
English

References (33)

The method of moving asymptotes—a new method for structural optimization journal February 1987
Tangent operators and design sensitivity formulations for transient non-linear coupled problems with applications to elastoplasticity journal July 1994
Topology optimization of finite strain viscoplastic systems under transient loads: Transient finite strain viscoplastic effects in topology optimization
  • Ivarsson, Niklas; Wallin, Mathias; Tortorelli, Daniel
  • International Journal for Numerical Methods in Engineering, Vol. 114, Issue 13 https://doi.org/10.1002/nme.5789
journal March 2018
Plastic work constrained elastoplastic topology optimization journal May 2021
Large‐scale elasto‐plastic topology optimization journal August 2024
Topology optimization of 2D-frame structures with path-dependent response journal January 2003
Geometrically Nonlinear Analysis of Trusses Using Particle Swarm Optimization book December 2014
Difficulties in truss topology optimization with stress, local buckling and system stability constraints journal June 1996
Adaptive topology optimization of elastoplastic structures journal April 1998
Optimization of a frame structure subjected to a plastic deformation journal December 1995
Discrete optimization of geometrically nonlinear truss structures under stability constraints journal June 1990
On the usefulness of non-gradient approaches in topology optimization journal March 2011
Optimum topology design of various geometrically nonlinear latticed domes using improved harmony search method journal June 2011
Analytical sensitivity in topology optimization for elastoplastic composites journal May 2015
GRAND3 — Ground structure based topology optimization for arbitrary 3D domains using MATLAB journal July 2015
Truss optimization with discrete design variables: a critical review journal September 2015
Topology optimization based on finite strain plasticity journal April 2016
Topology optimization of structures with anisotropic plastic materials using enhanced assumed strain elements journal December 2016
Design of fracture resistant energy absorbing structures using elastoplastic topology optimization journal June 2017
Topology optimization for designing periodic microstructures based on finite strain viscoplasticity journal May 2020
Topology optimization in quasi-static plasticity with hardening using a level-set method journal October 2021
Load step reduction for adjoint sensitivity analysis of finite strain elastoplasticity journal December 2021
A Newton–Schur alternative to the consistent tangent approach in computational plasticity journal January 2007
Topology optimization for effective energy propagation in rate-independent elastoplastic material systems journal October 2015
A novel elastoplastic topology optimization formulation for enhanced failure resistance via local ductile failure constraints and linear buckling analysis journal January 2021
Truss optimization with buckling considerations using geometrically nonlinear beam modeling journal November 2017
Elasto-plastic analysis based truss optimization using Genetic Algorithm journal May 2013
Topology optimization of geometrically nonlinear trusses with spurious eigenmodes control journal January 2017
A machine learning-based surrogate model for optimization of truss structures with geometrically nonlinear behavior journal November 2021
Concurrent structural optimization of buckling-resistant trusses and their initial imperfections journal May 2019
Design of composite structures with programmable elastic responses under finite deformations journal June 2021
Inverse design of mechanical metamaterial achieving a prescribed constitutive curve journal January 2024
Elastic-Plastic Deformation at Finite Strains journal March 1969