Material nonlinear topology optimization using the ground structure method with a discrete filtering scheme

Zhang, Xiaojia Shelly; Ramos, Adeildo S.; Paulino, Gláucio H.

doi:10.1007/s00158-016-1627-7

Cited by 53 publications

(25 citation statements)

References 37 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Furthermore, another most commonly used classification merit of methodologies is if its discrete elements are used or not. The mainly used methods using discrete elements can be regarded, such as [18] ground structure approach (GSA) [21,32] Here, some of the studies post 2010 using these methodologies and their hybrids will be given under different headings. [80] proposed a level-set-based topology optimization method for the design of hyperbolic acoustic metamaterials using a high-frequency homogenization method.…”

Section: Classification Of Methodologiesmentioning

confidence: 99%

“…Weight savings are managed by engineers in several structures as a consequence of utilization of these methods. There are many examples in literature on the application of these methods [13,20,21]. Today, many commercial finite element software has an optimization module (Altair OptiStruct, Simulia Tosca, OPTISHAPE-TS, etc.)…”

Section: Structural Topology Optimizationmentioning

confidence: 99%

See 1 more Smart Citation

Topology Optimization Applications on Engineering Structures

Kentli¹

2020

Truss and Frames - Recent Advances and New Perspectives

View full text Add to dashboard Cite

Over the years, several optimization techniques were widely used to find the optimum shape and size of engineering structures (trusses, frames, etc.) under different constraints (stress, displacement, buckling instability, kinematic stability, and natural frequency). But, most of them require continuous data set where, on the other hand, topology optimization (TO) can handle also discrete ones. Topology optimization has also allowed radical changes in geometry which concludes better designs. So, many researchers have studied on topology optimization by developing/using different methodologies. This study aims to classify these studies considering used methods and present new emerging application areas. It is believed that researchers will easily find the related studies with their work.

show abstract

Section: Classification Of Methodologiesmentioning

confidence: 99%

Section: Structural Topology Optimizationmentioning

confidence: 99%

Topology Optimization Applications on Engineering Structures

Kentli¹

2020

Truss and Frames - Recent Advances and New Perspectives

View full text Add to dashboard Cite

show abstract

“…One important feature of the ground structure method (GSM) is that the optimization parameters are crosssectional area for all the bars, while keeping the nodal locations fixed. In particular, the GSM has drawn much attention in academia in recent years, see, for example, Ramos et almon method in which the design domain i Zhang et al, Zegard et al, Madah et al, and Bendsøe and Sigmund . Although the optimal results generated by GSM are manufacturing‐oriented design, there still exist several shortcomings.…”

Section: Introductionmentioning

confidence: 99%

Linear and nonlinear topology optimization design with projection‐based ground structure method (P‐GSM)

Deng

2020

Numerical Meth Engineering

View full text Add to dashboard Cite

A new topology optimization scheme called the projection-based ground structure method (P-GSM) is proposed for linear and nonlinear topology optimization designs. For linear design, compared to traditional GSM which are limited to designing slender members, the P-GSM can effectively resolve this limitation and generate functionally graded lattice structures. For additive manufacturing-oriented design, the manufacturing abilities are the key factors to constrain the feasible design space, for example, minimum length and geometry complexity. Conventional density-based method, where each element works as a variable, always results in complex geometry with large number of small intricate features, while these small features are often not manufacturable even by 3D printing and lose its geometric accuracy after postprocessing. The proposed P-GSM is an effective method for controlling geometric complexity and minimum length for optimal design, while it is capable of designing self-supporting structures naturally. In optimization progress, some bars may be disconnected from each other (floating in the air). For buckling-induced design, this issue becomes critical due to severe mesh distortion in the void space caused by disconnection between members, while P-GSM has ability to overcome this issue. To demonstrate the effectiveness of proposed method, three different design problems ranging from compliance optimization to buckling-induced mechanism design are presented and discussed in details. K E Y W O R D Sbuckling-induced design, functionally graded lattice, projection-based ground structure method, self-support design, topology optimization

show abstract

“…Its applications on engineering structures are reviewed by Sigmund and Maute [28] and Kentli [29]. Topology optimisation methods based on discrete elements are the ground structure approach (GSA) [30], solid isotropic material with penalization (SIMP) method [31][32][33][34], homogenization method (HM) [35], evolutionary structural optimization (ESO) [36], level-set method (LSM) [37,38], and the hybrid cellular automata (HCA) algorithm [39]. In terms of lattice material design by topology optimisation, Hu et al [24] proposed a CLL material that exhibited high compression-resistant capability.…”

Section: Introductionmentioning

confidence: 99%

Comparative Study on the Uniaxial Behaviour of Topology-Optimised and Crystal-Inspired Lattice Materials

Yang

Xie

2020

Metals

View full text Add to dashboard Cite

This work comparatively studies the uniaxial compressive performances of three types of lattice materials, namely face-centre cube (FCC), edge-centre cube (ECC), and vertex cube (VC), which are separately generated by topology optimisation and crystal inspiration. High similarities are observed between the materials designed by these two methods. The effects of design method, cell topology, and relative density on deformation mode, mechanical properties, and energy absorption are numerically investigated and also fitted by the power law. The results illustrate that both topology-optimised and crystal-inspired lattices are mainly dominated by bending deformation mode. In terms of collapse strength and elastic modulus, VC lattice is stronger than FCC and ECC lattices because its struts are arranged along the loading direction. In addition, the collapse strength and elastic modulus of the topology-optimised FCC and ECC are close to those generated by crystal inspiration at lower relative density, but the topology-optimised FCC and ECC are obviously superior at a higher relative density. Overall, all topology-generated lattices outperform the corresponding crystal-guided lattice materials with regard to the toughness and energy absorption per unit volume.

show abstract

Material nonlinear topology optimization using the ground structure method with a discrete filtering scheme

Cited by 53 publications

References 37 publications

Topology Optimization Applications on Engineering Structures

Topology Optimization Applications on Engineering Structures

Linear and nonlinear topology optimization design with projection‐based ground structure method (P‐GSM)

Comparative Study on the Uniaxial Behaviour of Topology-Optimised and Crystal-Inspired Lattice Materials

Contact Info

Product

Resources

About