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We use molecular dynamics to study the vibrations of a thermally fluctuating two-dimensional elastic membrane clamped at both ends. We directly extract the eigenmodes from resonant peaks in the frequency domain of the time-dependent height…

Soft Condensed Matter · Physics 2017-07-19 Duanduan Wan , David R. Nelson , Mark J. Bowick

Near the critical point, isothermal interfacial zones are investigated starting from a non-local density of energy. From the equations of motion of thermocapillary fluids, we point out a new kind of adiabatic waves propagating along the…

Fluid Dynamics · Physics 2008-01-16 Henri Gouin

we present the temperature-dependent elastic constants of two ductile rare-earth intermetallic compounds YAg and YCu with CsCl-type B2 structure by using a first-principles approach. The elastic moduli as a function of temperature are…

Materials Science · Physics 2011-04-28 Wang Rui , Wang Shaofeng , Wu Xiaozhi , Yao Yin

A rectangular plate of dielectric elastomer exhibiting gradients of material properties through its thickness will deform inhomogeneously when a potential difference is applied to compliant electrodes on its major surfaces, because each…

Soft Condensed Matter · Physics 2020-12-08 Yipin Su , Ray W. Ogden , Michel Destrade

The discovery of configurational forces acting on elastic structures and its initial applications are reviewed. Configurational forces are related to the possibility that an elastic structure can change its configuration, thus inducing a…

Soft Condensed Matter · Physics 2022-11-24 Davide Bigoni , Federico Bosi , Francesco Dal Corso , Diego Misseroni

The local elastic properties of strongly disordered host material are investigated using the theory of correlated random matrices. A significant increase in stiffness is shown in the interfacial region, which thickness depends on the…

Disordered Systems and Neural Networks · Physics 2023-03-30 D. A. Conyuh , A. A. Semenov , Y. M. Beltukov

Nonlinear elastic properties of polymers and polymeric composites are essential for accurate prediction of their response to dynamic loads, which is crucial in a wide range of applications. These properties can be affected by strain rate,…

Soft Condensed Matter · Physics 2025-02-04 Andrey V. Belashov , Anna A. Zhikhoreva , Yaroslav M. Beltukov , Irina V. Semenova

A law previously found for shear moduli of crystalline materials is developed and extended to all elastic moduli in solids and structures. Shear moduli were previously shown to depend only on specific volume. The bulk moduli of many…

Materials Science · Physics 2023-11-15 S. J. Burns , Sean P. Burns

We present a unified formulation of a rotationally invariant nonlinear elasticity for a variety of spontaneously anisotropic phases, and use it to study thermal fluctuations in nematic elastomers and spontaneously anisotropic gels. We find…

Soft Condensed Matter · Physics 2009-11-07 Xiangjun Xing , Leo Radzihovsky

The shear-modulus and yield-stress of amorphous solids are important material parameters, with the former determining the rate of increase of stress under external strain and the latter being the stress value at which the material flows in…

Materials Science · Physics 2015-05-13 Edan Lerner , Itamar Procaccia , Emily S. C. Ching , H. G. E Hentschel

Thermodynamics of crystalline materials is analyzed using strain volumes, an incremental tensorial state variable which is the volume per unit mass multiplied by the incremental strain.

Materials Science · Physics 2018-07-27 S. J. Burns

In a first study of thermoelastic waves, such as on the textbook of Landau and Lifshitz, one might at first glance understand that when the given period is very short, waves are isentropic because heat conduction does not set in, while if…

Classical Physics · Physics 2010-12-24 Guido Parravicini , Serena Rigamonti

A new type of elasticity of random (multifractal) structures is suggested. A closed system of constitutive equations is obtained on the basis of two proposed phenomenological laws of reversible deformations of multifractal structures. The…

Materials Science · Physics 2007-05-23 Alexander S. Balankin

Nonlinear elastic theory studies the elastic constants of a material (such as Young's modulus or bulk modulus) as a power series in the applied load. The inverse bulk modulus K, for example depends on the compression P: $ {1/ K(P)} = c_0 +…

Condensed Matter · Physics 2009-10-28 Alex Buchel , James P. Sethna

Materials made from active, living, or robotic components can display emergent properties arising from local sensing and computation. Here, we realize a freestanding active metabeam with piezoelectric elements and electronic feed-forward…

Applied Physics · Physics 2021-10-14 Yangyang Chen , Xiaopeng Li , Colin Scheibner , Vincenzo Vitelli , Guoliang Huang

The rheological parameters of materials are determined in the industry according to international standards established generally on the basis of widespread techniques and robust methods of estimation. Concerning solid polymers and the…

Classical Physics · Physics 2012-06-20 A. Blaise , Stéphane André , Patrick Delobelle , Yves Meshaka , C. Cunat

A relationship is established between the effective Youngs modulus of a two-phase elastic composite and a known mathematical mean value. Specifically, the effective Youngs modulus of a composite obtained from repeated parallel and serial…

Classical Physics · Physics 2024-09-17 Jiashi Yang

It is well established that the product of the volume coefficient of thermal expansion and the bulk modulus is nearly constant at temperatures higher than the Debye temperature. Using this approximation allows predicting the values of the…

General Physics · Physics 2009-11-11 J. Garai , A. Laugier

Though extensively studied, hardness, defined as the resistance of a material to deformation, still remains a challenging issue for a formal theoretical description due to its inherent mechanical complexity. The widely applied Teter's…

Materials Science · Physics 2011-06-15 Xing-Qiu Chen , Haiyang Niu , Dianzhong Li , Yiyi Li

Magnetic elastomers are appealing materials from an application point of view: they combine the mechanical softness and deformability of polymeric substances with the addressability by external magnetic fields. In this way, mechanical…

Soft Condensed Matter · Physics 2015-06-22 Elshad Allahyarov , Andreas M. Menzel , Lei Zhu , Hartmut Löwen