Isogeometric level set topology optimization for elastoplastic plane stress problems

Jahangiry, Hassan A.; Gholhaki, Majid; Naderpour, Hosein; Tavakkoli, S. M.

doi:10.1007/s10999-021-09562-w

Cited by 8 publications

(5 citation statements)

References 35 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The second example is a double‐clamped beam as plotted in Figure 7. This problem has been considered using different topology optimization techniques 39–41 . In this study, the setup is in line with that reported in reference 39.…”

Section: Numerical Examplesmentioning

confidence: 97%

See 1 more Smart Citation

A framework for plasticity‐based topology optimization of continuum structures

Xue

Zhang

2022

Numerical Meth Engineering

View full text Add to dashboard Cite

In this paper, a framework is proposed for topology optimization of continuum structures considering plasticity. The method merges the rigid‐plastic analysis and the density‐based topology optimization. To obtain a clean black‐and‐white design, the density in the objective function is penalized using an exponential function. The solution of the final plasticity‐based topology optimization problem exhibits as a sequence of second‐order cone programming (SOCP) problems that can be resolved efficiently using the advanced primal‐dual interior point method. Compared to the conventional stress‐constrained topology optimization techniques, the developed method accounts for plasticity and the finite element analysis of structures does not need to be carried out separately. Furthermore, the proposed method requires no relaxation techniques for imposing local stress‐constrain and possesses good computational efficiency for large‐scale problems.

show abstract

Section: Numerical Examplesmentioning

confidence: 97%

“…This problem has been considered using different topology optimization techniques 39–41 . In this study, the setup is in line with that reported in reference 39. The length of the beam is 20 m, and the height is 5 m. The yield stress of the material is set to be 300 kPa.…”

Section: Numerical Examplesmentioning

confidence: 99%

A framework for plasticity‐based topology optimization of continuum structures

Xue

Zhang

2022

Numerical Meth Engineering

View full text Add to dashboard Cite

show abstract

“…Here, the performance function is described in the form for the whole design domain because the performance function for the whole domain is obtained by summing the performance functions of each element. The optimized geometry is obtained under the constraints of the discretized governing equations in (2) and the volume constraint equations in (3). The problem is to find an optimal distribution of level-set function φ so as to minimize the performance function J.…”

Section: Topology Optimization To Minimize Strain Energymentioning

confidence: 99%

“…This prompted us to apply the topology optimization method using the level-set and phase-field method to elasto-plastic models to include material nonlinearity. Topology optimization analysis that takes elasto-plastic deformation into account should ideally be conducted by applying the hardening parameter and the practical stress-strain curve as shown in [2]. However, this risks taking a great deal of computational time to obtain a topology-optimized structure since elasto-plastic analysis is performed for each topology updated structure model.…”

Section: Introductionmentioning

confidence: 99%

Level-set based topology optimization for bi-linear type elasto-plastic problems

Shimizu,

Kishida,

Kurahashi

2024

JSIAM Letters

View full text Add to dashboard Cite

This paper describes level-set based topology optimization for bi-linear type elasto-plastic problems. The geometric complexity can be controlled by the value of the regularization factor τ defined by the phase-field method, and the application of this method to bi-linear elasto-plastic models aims to improve the reliability of structural designs. In this study, a comparison is carried out for the final topologies in elastic and bi-linear elasto-plastic models using 2D and 3D cantilever beam models; we also provide reliable design considerations.

show abstract

“…In literature, most of the nonlinear problems are resolved through the gradient-based topology optimization e.g. [77,79,80,81,82,83,84,85,86,87] among many others. To this end, herein we employ a displacement-controlled adjoint sensitivity that is used for gradient-based topology optimization.…”

Section: Introductionmentioning

confidence: 99%