Compressive stiffness of staggered woodpile lattices: Mechanics, measurement, and scaling laws

Cuan-Urquizo, Enrique; Shalchy, Faezeh; Bhaskar, Atul

doi:10.1016/j.ijmecsci.2020.105932

Cited by 17 publications

(7 citation statements)

References 54 publications

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Section: Discussionmentioning

confidence: 92%

“…These two arguments prompt to a non-linear relation between the thickness (volume fraction) and the effective stiffness. Other non-linear relations can be obtained for different lattice topologies, for example, a power to fifth relation obtained in Cuan-Urquizo et al 19 Despite the stiffness of the reinforced sockets resulted also with a non-linear relation with the thickness variation, once the lattice patterns are added to the socket, the deformation mechanism is not pure any longer, as the material from the socket fills the voids in the lattice. This is a more complex scenario where the integration of lattice and membrane (socket) demands further studies.…”

Section: Discussionmentioning

confidence: 96%

See 1 more Smart Citation

The use of conformal lattice metamaterials for relieving stress in lower limb sockets: A numerical and exploratory study

Barreto

Cuan-Urquizo

Perez‐Gonzalez

et al. 2022

Proc Inst Mech Eng H

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Selecting the correct material for each application has always been important. Now, with lattice metamaterials engineers can take advantage of the properties of these metamaterials to best suit a specific application. This paper investigates transtibial lower limb socket stress reduction through the implementation of conformal lattice metamaterials. In this work, a model was obtained with a 3D scanner from a plaster cast taken from a participant with a trans-tibial amputation. Then a 3D socket model was created and two conformal patterns were added to the surface of the socket using nTopology®. Parametric studies to relate the lattice metamaterials constituent elements to their effective structural properties, when such are loaded in-plane and out-of-plane were also included. Pressure test simulations were performed to determine the stresses produced in the sockets. This study concludes with discussion of the results and provides information on how surface conformal patterns can improve socket performance, showing that surface-vertex-centroid patterns increase stiffness and relieve stresses.

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Section: Discussionmentioning

confidence: 92%

Section: Discussionmentioning

confidence: 96%

The use of conformal lattice metamaterials for relieving stress in lower limb sockets: A numerical and exploratory study

Barreto

Cuan-Urquizo

Perez‐Gonzalez

et al. 2022

Proc Inst Mech Eng H

Self Cite

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“…Tailoring stiffness has become more relevant with the emergence of modern manufacturing processes such as additive manufacturing techniques, capable of fabricating complex topologies and shapes [72][73][74][75]. Some studies [76][77][78] showed how the stiffness in beams can be customized by using different types of cellular structures while obtaining minimum weight designs. Other works [79][80][81] focused on obtaining optimal designs of lattice structures to achieve the desired stiffness along with exceptional load-bearing efficiency and minimum weight.…”

Section: Tailoring Stiffness Via Cellular Materialsmentioning

confidence: 99%

A Review on Tailoring Stiffness in Compliant Systems, via Removing Material: Cellular Materials and Topology Optimization

2021

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Cellular Materials and Topology Optimization use a structured distribution of material to achieve specific mechanical properties. The controlled distribution of material often leads to several advantages including the customization of the resulting mechanical properties; this can be achieved following these two approaches. In this work, a review of these two as approaches used with compliance purposes applied at flexure level is presented. The related literature is assessed with the aim of clarifying how they can be used in tailoring stiffness of flexure elements. Basic concepts needed to understand the fundamental process of each approach are presented. Further, tailoring stiffness is described as an evolutionary process used in compliance applications. Additionally, works that used these approaches to tailor stiffness of flexure elements are described and categorized. Finally, concluding remarks and recommendations to further extend the study of these two approaches in tailoring the stiffness of flexure elements are discussed.

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“…It is important to realize the relation between gradient parameters of a structure and responses such as strength, stiffness, specific energy absorption (SEA) to fully use the potential of ME technique. Various researchers have studied mechanical properties of ME fabricated cellular structures analytically and numerically (Ang et al , 2006; Park et al , 2014; Ravari et al , 2014; Hedayati et al , 2016; Kucewicz et al , 2018; Yang et al , 2018; Kucewicz et al , 2019; Cuan-Urquizo et al , 2020). By introducing gradience in the auxetic structure, local and global deformations are also achieved as per the functional requirement (Hou et al , 2013; Boldrin et al , 2016; Plocher and Panesar, 2020).…”

Section: Introductionmentioning

confidence: 99%

Auxetic structures fabricated by material extrusion: an experimental investigation of gradient parameters

Vyavahare

Teraiya

Kumar

2021

RPJ

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Purpose This paper aims to focus on studying the influence of gradient parameters, namely, thickness coefficient, length coefficient and height ratio of auxetic structure on responses such as strength, stiffness and specific energy absorption (SEA) under compressive loading. Optimization of significant parameters is also performed to maximize responses. Further, efforts have also been made to develop regression models for strength, stiffness and SEA of auxetic structure. Design/methodology/approach Central composite design of response surface methodology is used for planning experiments. Auxetic structures of acrylonitrile butadiene styrene (ABS) and poly-lactic acid (PLA) materials are fabricated by the material extrusion (ME) technique of additive manufacturing. Fabricated structures are tested under in-plane uniaxial compressive loading. Grey relational analysis is used for the optimization of gradient parameters of the unit cell of auxetic structure to maximize responses and minimize weight and time of fabrication. Findings From the analysis of variance of experimental data, it is found that the compressive strength of auxetic structures increases with a decrease in length coefficient and height ratio. In the case of ABS structures, stiffness increases with a decrease in thickness coefficient and length coefficient, while in the case of PLA structures, stiffness increases with a decrease in length coefficient and height ratio. SEA is influenced by length coefficient and thickness coefficient in ABS and PLA structures, respectively. Based on the analysis, statistical non-linear quadratic models are developed to predict strength, stiffness and SEA. Optimal configuration of auxetic structure is determined to maximize strength, stiffness, SEA and minimize weight and time of fabrication. Research limitations/implications The present study is limited to re-entrant type of auxetic structures made of ABS and PLA materials only under compressive loading. Also, results from the current study are valid within a selected range of gradient parameters. The findings of the present study are useful in the optimal selection of gradient parameters for the fabrication of auxetic structures of maximum strength, stiffness and SEA with minimum weight and time of fabrication. These outcomes have wide applications in domains such as automotive, aerospace, sports and marine sectors. Originality/value Limited literature is available on studying the influence of gradient parameters of ME manufactured auxetic structure of ABS and PLA materials on responses, namely, strength, stiffness and SEA under compressive loading. Also, no work has been reported on studying the influence of gradient parameters on mechanical properties, weight and time of fabrication of auxetic structures. The present study is an attempt to fulfil the above research gaps.

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Compressive stiffness of staggered woodpile lattices: Mechanics, measurement, and scaling laws

Cited by 17 publications

References 54 publications

The use of conformal lattice metamaterials for relieving stress in lower limb sockets: A numerical and exploratory study

The use of conformal lattice metamaterials for relieving stress in lower limb sockets: A numerical and exploratory study

A Review on Tailoring Stiffness in Compliant Systems, via Removing Material: Cellular Materials and Topology Optimization

Auxetic structures fabricated by material extrusion: an experimental investigation of gradient parameters

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