A stabilisation approach for topology optimisation of hyperelastic structures with the SIMP method

Ortigosa, Rogelio; Ruiz, David; Gil, Antonio J.; Donoso, Alberto; Bellido, José C.

doi:10.1016/j.cma.2020.112924

Cited by 22 publications

(4 citation statements)

References 38 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Formally, the topological optimization problem is defined from the objective functions and the constraints of each variable that intervenes in the optimization problem (Equation (1)):

where D ⊃ ℝ n represents the variable constraints of the optimization problem and f(x) represents the objective function to be optimized. To complete the optimization process of the structural element under study, the SIMP method [ 56 ] was implemented. This consists of replacing the objective function f(x) with a function of the type f(x p ) (Equation (2)):

…”

Section: Methodsmentioning

confidence: 99%

“…where D ⊃ R n represents the variable constraints of the optimization problem and f(x) represents the objective function to be optimized. To complete the optimization process of the structural element under study, the SIMP method [56] was implemented. This consists of replacing the objective function f(x) with a function of the type f(x p ) (Equation ( 2)):…”

Section: Definition Of the Plastic Materials For The Additive Manufacturing Of Bim Elementsmentioning

confidence: 99%

See 1 more Smart Citation

New Procedure for BIM Characterization of Architectural Models Manufactured Using Fused Deposition Modeling and Plastic Materials in 4.0 Advanced Construction Environments

et al. 2020

View full text Add to dashboard Cite

This paper presents a new procedure for the building information modeling (BIM) characterization of structural topologies manufactured with plastic materials and fused deposition modeling (FDM) additive technology. The procedure presented here transforms the architectural geometry into an expanded three-dimensional model, capable of directly linking the topology of the plastic structure with the technological, functional and economic requirements for working in advanced construction 4.0 environments. The model incorporates a new algorithm whose objective is to recognize the topological surface of the plastic structural part obtaining in a fully automated way the FDM manufacturing time as well as the manufacturing cost. The new algorithm starts from the voxelized geometrical surface of the architectural model, calculating the manufacturing time from the full geometric path traveled by the extruder in a voxel, the extruder’s speed, the print pattern and the layer height. In this way it is possible to obtain a complete digital model capable of managing and analyzing the plastic architectural object in an advanced BIM 4.0 environment. The model presented in this paper was applied to two architectural structures designed for a real urban environment. The final structural geometries have been obtained through topological processes in order to reduce the raw plastic manufacturing material and to improve the plastic structure strength. The architectural elements have been validated structurally by the means of numerical simulations, following the scenario of loads and boundary conditions required for the real project. The displacement maps point to a maximum value of 0.5 mm according to the project requirements. The Von Mises stress fields indicate maximum values of 0.423 and 0.650 MPa, not exceeding in any case the tensile yield strength of the thermoplastic material.

show abstract

“…Formally, the topological optimization problem is defined from the objective functions and the constraints of each variable that intervenes in the optimization problem (Equation (1)):

…”

Section: Methodsmentioning

confidence: 99%

Section: Definition Of the Plastic Materials For The Additive Manufacturing Of Bim Elementsmentioning

confidence: 99%

New Procedure for BIM Characterization of Architectural Models Manufactured Using Fused Deposition Modeling and Plastic Materials in 4.0 Advanced Construction Environments

et al. 2020

View full text Add to dashboard Cite

show abstract

“…maximum stiffness). Taking compliance minimization as the objective, the density of the structure unit as the design variable and the volume fraction as the constraint condition, the mathematical model of singlecondition topology optimization based on the solid isotropic material with penalization theory (SIMP) is described as follows [28][29][30][31]:…”

Section: B Multi-objective Topology Optimization Methodsmentioning

confidence: 99%

Multi-Objective Topological Optimization of an Electric Truck Frame Based on Orthogonal Design and Analytic Hierarchy Process

Qiao¹,

Xu²,

Wu³

et al. 2020

IEEE Access

View full text Add to dashboard Cite

The electric truck frame as a vital load-bearing component has aroused growing attentions due to its enormous potential in lightweight. However, few systematic studies have been performed on the multi-objective topological design of the frame attributable to its complexity on loading and conflicting objectives. This paper aims to develop a multi-objective topology optimization strategy of the electric truck frame based on the hybrid decision making method combining orthogonal test design (OTD) and analytic hierarchy process (AHP). The hybrid strategy is performed to obtain a new set of weight ratio combination from objective data and subjective judgment. The topological results show that the overall performance of the optimal frame is better than any of the methods applied alone. By comparing, it is found that the strength and stiffness of the optimal frame is higher than that of the original frame from the perspective of static conditions, and the low-order natural frequency of the optimal frame is significantly improved. It demonstrates that the proposed approach could be as an effective tool for multi-objective topology optimization of the electric truck frame in seeking lightweight and comprehensive mechanical performance. The hybrid strategy might be expected to provide some guidance for more complicated engineering problems. INDEX TERMS Electric truck frame, multi-objective design, topology optimization, orthogonal test, analytic hierarchy process.

show abstract

“…Luo et al 41 proposed a simple and effective additive hyperelasticity technique to circumvent excessive mesh distortion in solving the density‐based TO of elastic structures undergoing large deformation. Ortigosa et al 42 proposed a novel stabilized computational approach for SIMP‐based TO method for hyperelastic material design subjected to very large deformation. For level set method, Chen et al 43 proposed an effective level‐set‐based TO method for the design of hyperelastic structures undergoing large deformation.…”

Section: Introductionmentioning

confidence: 99%

A density‐based boundary evolving method for buckling‐induced design under large deformation

Deng

2020

Numerical Meth Engineering

View full text Add to dashboard Cite

This paper proposes a density-based boundary evolving algorithm for continuum-based topology optimization. The boundary of voids in the design domain is described by RBF (radial basis function) function controlled by RBF knots in polar coordinate, where the voids are projected onto a fixed grid using Heaviside function. For merging overlapped multiple voids, the p-norm function is introduced to describe composite density field. The differentiability of the projection-based boundary description algorithm allows for the sensitivity analysis via the chain rule, and therefore, it enables an efficient gradient-based optimization method. The goal of this paper is to optimize the initial design to generate buckling-induced mechanism under large deformation, and without loss of generality, the hyperelastic material model is chosen to describe the material behavior. Notably, this method possesses the merit of level set method, where the intermediate density only exists at the boundary of topology shape. At the same time, the proposed method is still in the density-based optimization framework and standard sensitivity analysis of density-based methods can be directly derived based on the chain rule. Several numerical examples are presented and discussed in detail to demonstrate the effectiveness of the proposed density-based boundary evolving method.

show abstract

A stabilisation approach for topology optimisation of hyperelastic structures with the SIMP method

Cited by 22 publications

References 38 publications

New Procedure for BIM Characterization of Architectural Models Manufactured Using Fused Deposition Modeling and Plastic Materials in 4.0 Advanced Construction Environments

New Procedure for BIM Characterization of Architectural Models Manufactured Using Fused Deposition Modeling and Plastic Materials in 4.0 Advanced Construction Environments

Multi-Objective Topological Optimization of an Electric Truck Frame Based on Orthogonal Design and Analytic Hierarchy Process

A density‐based boundary evolving method for buckling‐induced design under large deformation

Contact Info

Product

Resources

About