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Rigidity analysis using the "pebble game" has been applied to protein crystal structures to obtain information on protein folding, assembly and t he structure-function relationship. However, previous work using this technique has not made…

Biomolecules · Quantitative Biology 2015-05-13 SA Wells , JE Jimenez-Roldan , RA Römer

The conditions which determine whether a material behaves in a brittle or ductile fashion on mechanical loading are still elusive and comprise a topic of active research among materials physicists and engineers. In this study, we present…

Soft Condensed Matter · Physics 2016-03-16 Jeetu S. Babu , Chandana Mondal , Surajit Sengupta , Smarajit Karmakar

Architected materials that exploit buckling instabilities to reversibly trap energy have been shown to be effective for impact protection. The energy-absorbing capabilities of these architected materials can be enhanced further by…

Soft Condensed Matter · Physics 2026-01-09 Beijun Shen , Yuefeng Jiang , Christopher M. Yakacki , Sung Hoon Kang , Thao D. Nguyen

Slender elastic objects such as a column tend to buckle under loads. While static buckling is well understood as a bifurcation problem, the evolution of shapes during dynamic buckling is much harder to study. Elastic rings under normal…

Soft Condensed Matter · Physics 2020-05-14 Ousmane Kodio , Alain Goriely , Dominic Vella

We investigate how material rigidity acts as a key control parameter for the failure of solids under stress. In both experiments and simulations, we demonstrate that material failure can be continuously tuned by varying the underlying…

The method of iterated conformal maps is developed for quasi-static fracture of brittle materials, for all modes of fracture. Previous theory, that was relevant for mode III only, is extended here to mode I and II. The latter require…

Statistical Mechanics · Physics 2009-11-07 Felipe Barra , Anders Levermann , Itamar Procaccia

Soft tissues are complex media, they display a wide range of mechanical properties such as anisotropy and non-linear stress-strain behaviour. They undergo large deformations and they exhibit a time-dependent mechanical behaviour, i.e. they…

Soft Condensed Matter · Physics 2021-08-19 Michele Righi , Valentina Balbi

We give computational results to study the accuracy of several quasicontinuum methods for two benchmark problems - the stability of a Lomer dislocation pair under shear and the stability of a lattice to plastic slip under tensile loading.…

Numerical Analysis · Mathematics 2015-03-17 Brian Van Koten , Xingjie Helen Li , Mitchell Luskin , Christoph Ortner

The reliability of a system of components depends on reliability of each component. Thus, the initial statistical work should be the estimation of the reliability of each component of the system. This is not an easy task because when the…

From cell development to space rockets, the mechanical stability of thin shells is crucial across many industrial and natural processes. However, predicting shells' failure properties remains an open challenge, owing to their sensitivity to…

Rigidity percolation provides an important basis for understanding the onset of mechanical stability in disordered materials. While most studies on the triangular lattice have focused on static properties at fixed bond~(site) occupation…

Statistical Mechanics · Physics 2026-01-30 Mingzhong Lu , Yufeng Song , Qiyuan Shi , Ming Li , Youjin Deng

In compressive fracture of dry plexiform bone, we examine the individual roles of overall mean porosity, the connectivity of the porosity network, and the elastic as well as the failure properties of the non-porous matrix, using a random…

Soft Condensed Matter · Physics 2017-11-22 Ashwij Mayya , Anuradha Banerjee , R. Rajesh

Collagen fibrils are the most important structural component of tendons. Their crimped structure and parallel arrangement within the tendon lead to a distinctive non-linear stress-strain curve when a tendon is stretched. Microstructural…

Tissues and Organs · Quantitative Biology 2021-03-09 James Gregory , Tom Shearer , Andrew L. Hazel

Contraction assay based on surface measurement have been widely used to evaluate cell contractility in 3D models. This method is straightforward and requires no specific equipment, but it does not provide quantitative data about contraction…

The paper addresses a common assumption of elastoplastic modeling: that the recoverable, elastic strain increment is unaffected by alterations of the elastic moduli that accompany loading. This assumption is found to be false for a granular…

Soft Condensed Matter · Physics 2018-12-20 Matthew R. Kuhn , Ali Daouadji

Accurate prediction of the force required to puncture a soft material is critical in many fields like medical technology, food processing, and manufacturing. However, such a prediction strongly depends on our understanding of the complex…

Soft Condensed Matter · Physics 2023-08-16 Stefano Fregonese , Zhiyuan Tong , Sibo Wang , Mattia Bacca

We have experimentally studied the unstable dynamics of a harmonically trapped Bose-Einstein condensate loaded into a 1D moving optical lattice. The lifetime of the condensate in such a potential exhibits a dramatic dependence on the…

Soft Condensed Matter · Physics 2009-11-10 L. Fallani , L. De Sarlo , J. E. Lye , M. Modugno , R. Saers , C. Fort , M. Inguscio

Reliability theory is used to assess the sensitivity of a passive flexion and active flexion of the human lower leg Finite Element (FE) models with Total Knee Replacement (TKR) to the variability in the input parameters of the respective FE…

Computational Engineering, Finance, and Science · Computer Science 2018-07-20 Corneliu T. C. Arsene

The response of metals and their microstructures under extreme dynamic conditions can be markedly different from that under quasistatic conditions. Traditionally, high strain rates and shock stresses are measured using cumbersome and…

Design of robots at the small scale is a trial-and-error based process, which is costly and time-consuming. There are few dynamic simulation tools available to accurately predict the motion or performance of untethered microrobots as they…

Robotics · Computer Science 2020-10-08 Jiayin Xie , Chenghao Bi , David J. Cappelleri , Nilanjan Chakraborty