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We present a novel formalism to characterize elastic heterogeneities in amorphous solids. In particular, we derive high-order strain-energy expansions for pairwise energies under athermal quasistatic dynamics. We then use the presented…

Soft Condensed Matter · Physics 2024-01-03 David Richard

Thermally fluctuating sheets and ribbons provide an intriguing forum in which to investigate strong violations of Hooke's Law: large distance elastic parameters are in fact not constant, but instead depend on the macroscopic dimensions.…

Soft Condensed Matter · Physics 2017-03-29 Mark J. Bowick , Andrej Kosmrlj , David R. Nelson , Rastko Sknepnek

Synchrotron Laue microdiffraction and Digital Image Correlation measurements were coupled to track the elastic strain field (or stress field) and the total strain field near a general grain boundary in a bent bicrystal. A 316L stainless…

Isomorphs are curves in the thermodynamic phase diagram of invariant excess entropy, structure, and dynamics, while pseudoisomorphs are curves of invariant structure and dynamics, but not of the excess entropy. The latter curves have been…

Soft Condensed Matter · Physics 2024-10-30 Zahraa Sheydaafar , Jeppe C. Dyre , Thomas B. Schrøder

We analyze the properties of a Lennard-Jones system at the level of the potential energy landscape. After an exhaustive investigation of the topological features of the landscape of the systems, obtained studying small size sample, we…

Disordered Systems and Neural Networks · Physics 2016-08-31 L. Angelani , G. Parisi , G. Ruocco , G. Viliani

To develop robust manipulation policies, quantifying robustness is essential. Evaluating robustness in general manipulation, nonetheless, poses significant challenges due to complex hybrid dynamics, combinatorial explosion of possible…

Robotics · Computer Science 2024-10-28 Yifei Dong , Xianyi Cheng , Florian T. Pokorny

Herein, we investigate the structural, electronic and mechanical properties of zigzag graphene nanoribbons upon the presence of stress applying Density Functional Theory within the GGA-PBE approximation. The uniaxial stress is applied along…

Materials Science · Physics 2015-05-13 Ricardo Faccio , Pablo A. Denis , Helena Pardo , Cecilia Goyenola , Alvaro W. Mombru

We present two methods of calculating the spatial entanglement of an interacting electron system within the framework of density-functional theory. These methods are tested on the model system of Hooke's atom for which the spatial…

Quantum Physics · Physics 2015-03-13 J. P. Coe , A. Sudbery , I. D'Amico

Performing a grasp is a pivotal capability for a robotic gripper. We propose a new evaluation approach of grasping stability via constructing a model of grasping stiffness based on the theory of contact mechanics. First, the mathematical…

Robotics · Computer Science 2018-10-22 Huixu Dong , Chen Qiu , Dilip K. Prasad , Ye Pan , Jiansheng Dai , I-Ming Chen

Bistability and snap-through instabilities are central to various mechanisms in nature and engineering, enabling rapid movement and large shape changes with minimal energy input. These phenomena are easily demonstrated by bending a piece of…

Soft Condensed Matter · Physics 2024-10-04 Tom Marzin , Barath Venkateswaran , Thomas Baroux , P. -T. Brun

The material characterization of ultra-thin solid sheets, including two-dimensional materials like graphene, is often performed through indentation tests on a flake suspended over a hole in a substrate. While this `suspended indentation' is…

Materials Science · Physics 2020-09-03 Thomas G. J. Chandler , Dominic Vella

One of the key aspects governing the mechanical performance of composite materials is debonding: the local separation of reinforcing constituents from matrix when the interfacial strength is exceeded. In this contribution, two strategies to…

Materials Science · Physics 2009-08-12 P. Gruber , J. Zeman , J. Kruis , M. Sejnoha

We construct a cut finite element method for the membrane elasticity problem on an embedded mesh using tangential differential calculus. Both free membranes and membranes coupled to 3D elasticity are considered. The discretization comes…

Numerical Analysis · Mathematics 2016-08-24 Mirza Cenanovic , Peter Hansbo , Mats G. Larson

A hydroelastic problem of flexural--gravity waves scattering by a demarcation between two floating elastic plates is investigated within the frame of linear potential-flow theory, where the method of matched eigenfunction expansions is…

Fluid Dynamics · Physics 2017-04-20 Q. R. Meng , D. Q. Lu

We have performed numerical simulation of a 3-dimensional elastic medium, with scalar displacements, subject to quenched disorder. We applied an efficient combinatorial optimization algorithm to generate exact ground states for an interface…

Disordered Systems and Neural Networks · Physics 2009-10-31 David McNamara , A. Alan Middleton , Chen Zeng

Suction cups are widely used in applications such as in measurement of mechanical properties of skin in vivo, in drug delivery devices or in acupuncture treatment. Understanding the mechanical response of skin under hypobaric pressure are…

Tissues and Organs · Quantitative Biology 2020-10-28 Daniel Sebastia-Saez , Faiza Benaouda , Charlie Lim , Guoping Lian , Stuart Jones , Tao Chen , Liang Cui

In the limit of vanishing lattice spacing we provide a rigorous variational coarse-graining result for a next-to-nearest neighbor lattice model of a simple crystal. We show that the $\Gamma$-limit of suitable scaled versions of the model…

Analysis of PDEs · Mathematics 2024-07-08 Annika Bach , Marco Cicalese , Adriana Garroni , Gianluca Orlando

Assuming Gaussian chain statistics along the chain contour, we generate by means of a proper fractal generator hyperbranched polymer trees which are marginally compact. Static and dynamical properties, such as the radial intrachain pair…

Soft Condensed Matter · Physics 2022-02-01 M. Dolgushev , J. P. Wittmer , A. Johner , O. Benzerara , H. Meyer , J. Baschnagel

One cannot pull an open, curved string along itself. This fact is clearly reflected in the unwrapping motion of a string or chain as it is dragged around an object, and implies strong consequences for slender structures in passive…

Fluid Dynamics · Physics 2013-05-22 J. A. Hanna , C. D. Santangelo

We investigate the energy landscape of the spherical mixed even p-spin model near its maximum energy. We relate the distance between pairs of near maxima to the support of the Parisi measure at zero temperature. We then provide an algebraic…

Probability · Mathematics 2017-03-13 Antonio Auffinger , Wei-Kuo Chen
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