The Principle of Independent Bond-Level Response: Tuning by Pruning to Exploit Disorder for Global Behavior

Goodrich, Carl P.; Liu, Andrea J.; Nagel, Sidney R.

doi:10.1103/physrevlett.114.225501

Cited by 102 publications

(116 citation statements)

References 22 publications

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“…For example, the unique state associated with each bond can be used to predict changes in the elastic constants upon bond pruning and can be used to design materials with specified elastic properties [10]. In addition, our results shed light on the work by Driscoll et al [25], which studied fracture in disordered networks under uniaxial tension.…”

Section: Spatial Organization Of States Of Self Stressmentioning

confidence: 63%

“…Specifically, we will see that there is a unique state associated with each bond defined by the component of the kernel of Q that is lost when the bond is removed. This state allows one to calculate directly what would happen to the elasticity of the system should the bond be removed [22], which is a key step in designing materials with tunable elastic properties [10]. The localization of these states also plays a role in the width of the fracture zone of marginal materials, as observed by Driscoll et al [25].…”

Section: Introductionmentioning

confidence: 99%

“…For instance, one may want to selectively remove bonds to target a particular global elastic response [10], control where a structure will focus stress and buckle [11], or apply boundary constraints to create highly nonlinear couplings between different global deformations [12].…”

Section: Introductionmentioning

confidence: 99%

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Spatial structure of states of self stress in jammed systems

2016

Self Cite

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States of self stress, organizations of internal forces in many-body systems that are in equilibrium with an absence of external forces, can be thought of as the constitutive building blocks of the elastic response of a material. In overconstrained disordered packings they have a natural mathematical correspondence with the zero-energy vibrational modes in underconstrained systems.While substantial attention in the literature has been paid to diverging length scales associated with zero-and finite-energy vibrational modes in jammed systems, less is known about the spatial structure of the states of self stress. In this work we define a natural way in which a unique state of self stress can be associated with each bond in a disordered spring network derived from a jammed packing, and then investigate the spatial structure of these bond-localized states of self stress. This allows for an understanding of how the elastic properties of a system would change upon changing the strength or even existence of any bond in the system. * dsussman@sas.upenn.edu 1 arXiv:1601.03416v1 [cond-mat.soft]

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Section: Spatial Organization Of States Of Self Stressmentioning

confidence: 63%

Section: Introductionmentioning

confidence: 99%

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Spatial structure of states of self stress in jammed systems

2016

Self Cite

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“…One example of the many surprises is the recent discovery of a decoupling of the contributions to the resistance to compression and shear of disordered network materials, which can be used to tune the elastic response into extreme corners of parameter space [46]. Other examples include the use of geometric methods to capture and predict the response on mechanical metamaterials [23].…”

Section: New Perspectives To Designmentioning

confidence: 99%

Designer Matter: A perspective

Reis

Jaeger

Hecke

2015

Extreme Mechanics Letters

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a b s t r a c tThe surge of modern techniques to fabricate structured materials paired with our ever deeper understanding of complex forms of matter present us with the opportunity to make and study dramatically new forms of designed materials and structures. This movement is being fueled by recent and rapid developments in a variety of fields, including soft matter, materials science, computer assisted design and digital fabrication. Here, we present an overview of these recent trends based on a multidisciplinary meeting on Designer Matter that we organized June 22nd-June 24th, 2015, at AMOLF, Amsterdam.

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“…Moreover, the presence of multiple local minima makes the optimization highly dependent on the initial conditions and search algorithm. Besides these gradient‐based methods, other approaches to optimize the behavior of mechanical networks exist, including stochastic optimization approaches and evolutionary approaches that are inspired by mechanical allostery …”

Section: Introductionmentioning

confidence: 99%

Inverse Design of Mechanical Metamaterials That Undergo Buckling

Oliveri

Overvelde

2020

Adv Funct Materials

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Metamaterials are man‐made materials which get their properties from their structure rather than their chemical composition. Their mesostructure is specifically designed to create functionalities not found in nature. However, despite the broad variety of metamaterials developed in recent years, a straightforward procedure to design these complex materials with tailored properties has not yet been established. Here, the inverse design problem is tackled by introducing a general optimization tool to explore the range of material properties that can be achieved. Specifically, a stochastic optimization algorithm is applied and its applicability to disjoint problems is demonstrated, with a focus on tuning the buckling properties of mechanical metamaterials, including experimental verification of the predictions. Besides this problem, this algorithm can be applied to a large variety of systems that, because of their complexity, would be challenging otherwise. Potential applications range from the design of optomechanical resonators, acoustic band gap materials, to dielectric metasurfaces.

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The Principle of Independent Bond-Level Response: Tuning by Pruning to Exploit Disorder for Global Behavior

Cited by 102 publications

References 22 publications

Spatial structure of states of self stress in jammed systems

Spatial structure of states of self stress in jammed systems

Designer Matter: A perspective

Inverse Design of Mechanical Metamaterials That Undergo Buckling

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