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The elastic response is studied of a single flexible chain grafted on a rigid plane and an ensemble of non-interacting tethered chains. It is demonstrated that the entropic theory of rubber elasticity leads to conclusions that disagree with…

Statistical Mechanics · Physics 2007-05-23 A. D. Drozdov

In this paper, we develop a novel control volume method that is locally conservative and locking-free for linear elasticity problem on quadrilateral grids. The symmetry of stress is weakly imposed through the introduction of a Lagrange…

Numerical Analysis · Mathematics 2025-04-15 Shubin Fu , Lina Zhao

This paper presents a finite element model for the analysis of crack-tip fields in a transversely isotropic strain-limiting elastic body. A nonlinear constitutive relationship between stress and linearized strain characterizes the material…

Numerical Analysis · Mathematics 2025-03-12 Saugata Ghosh , Dambaru Bhatta , S. M. Mallikarjunaiah

The hysteresis or internal friction in the deformation of crystalline solids stressed cyclically is studied from the viewpoint of collective dislocation dynamics. Stress-controlled simulations of a dislocation dynamics model at various…

Materials Science · Physics 2015-06-11 Lasse Laurson , Mikko J. Alava

Biological soft tissues exhibit elastic properties which can be dramatically different from rubber-type materials (elastomers). To gain a better understanding of the role of constitutive relationships in determining material responses under…

Soft Condensed Matter · Physics 2007-11-30 Alain Goriely , Michel Destrade , Martine Ben Amar

The ubiquitous appearance of regions of localized deformation (shear bands) in different kinds of disordered materials under shear is studied in the context of a mesoscopic model of plasticity. The model may or may not include relaxational…

Soft Condensed Matter · Physics 2015-05-19 E. A. Jagla

We present an extensive set of simulation results for the stress relaxation in equilibrium and step-strained bead-spring polymer melts. The data allow us to explore the chain dynamics and the shear relaxation modulus, $G(t)$, into the…

Soft Condensed Matter · Physics 2015-05-18 Ji Xuan Hou , Carsten Svaneborg , Ralf Everaers , Gary S. Grest

A micromechanically motivated phase-field damage model is proposed to investigate the fracture behaviour in crosslinked polyurethane adhesive. The crosslinked polyurethane adhesive typically show viscoelastic behaviour with geometric…

Computational Engineering, Finance, and Science · Computer Science 2024-06-11 S. P. Josyula , M. Brede , O. Hesebeck , K. Koschek , W. Possart , A. Wulf , B. Zimmer , S. Diebels

Almost all investigations of turbulent flows in academia and in the industry utilize some degree of turbulence modeling. Of the available approaches to turbulence modeling Reynolds Stress Models have the highest potential to replicate…

Fluid Dynamics · Physics 2018-03-07 J. P. Panda , H. V. Warrior

Motivated by recent experimental studies of rheological hysteresis in soft glassy materials, we study numerically strain rate sweeps in simple yield stress fluids and viscosity bifurcating yield stress fluids. Our simulations of downward…

Soft Condensed Matter · Physics 2017-02-28 Rangarajan Radhakrishnan , Thibaut Divoux , Sébastien Manneville , Suzanne M. Fielding

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

Twisted bilayer graphene (TBG) has drawn significant interest due to recent experiments which show that TBG can exhibit strongly correlated behavior such as the superconducting and correlated insulator phases. Much of the theoretical work…

Mathematical Physics · Physics 2025-05-23 Tianyu Kong , Alexander B. Watson , Mitchell Luskin , Kevin D. Stubbs

Process-structure-property relationships are fundamental in materials science and engineering and are key to the development of new and improved materials. Symbolic regression serves as a powerful tool for uncovering mathematical models…

Materials Science · Physics 2025-11-12 Evgeniya Kabliman , Gabriel Kronberger

This paper discusses tension-compression asymmetry properties of Ogden hyperelastic formulations. It is shown that if all negative or all positive Ogden coefficients are used, tension-compression asymmetry occurs the degree of which cannot…

Biological Physics · Physics 2015-12-14 Kevin M. Moerman , Ciaran K. Simms , Thomas Nagel

Thermally-driven semi-crystalline polymer networks are capable to achieve both the one-way shape-memory effect and two-way shape-memory effect under stress and stress-free conditions, therefore representing an appealing class of polymers…

Living tissues show an extraordinary adaptiveness to strain, which is crucial for their proper biological functioning. The physical origin of this mechanical behaviour has been widely investigated using reconstituted networks of collagen…

Soft Condensed Matter · Physics 2019-02-25 Federica Burla , Justin Tauber , Simone Dussi , Jasper van der Gucht , Gijsje H. Koenderink

Most theories and applications of elasticity rely on an energy function that depends on the strains from which the stresses can be derived. This is the traditional setting of Green elasticity, also known as hyper-elasticity. However, in its…

Classical Physics · Physics 2025-06-16 Arash Yavari , Alain Goriely

Although jammed packings of soft spheres exist in potential energy landscapes with a vast number of minima, when subjected to cyclic shear they may revisit the same configurations repeatedly. Simple hysteretic spin models, in which particle…

Soft Condensed Matter · Physics 2025-04-04 Chloe W. Lindeman , Sidney R. Nagel

High speed machining has been improved thanks to considerable advancement on the tools (optimum geometry, harder materials), on machined materials (increased workability and machining capacity for harder workpieces) and finally on the…

Classical Physics · Physics 2009-09-29 Olivier Cahuc , Alain Gérard

A characteristic of spin reversal in the presence of phonon-bottleneck is the deviation of the magnetization cycle from a reversible function into an opened hysterezis cycle. In recent experiments on molecular magnets (e.g. V$_{15}$ and…

Mesoscale and Nanoscale Physics · Physics 2009-09-28 L. Chen , I. Chiorescu
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