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Using molecular simulations and theory, we develop an explicit mapping of the contribution of molecular relaxation modes in glassy thermosets to the shear modulus, where the relaxations were tuned by altering the polarity of side groups.…

Materials Science · Physics 2019-10-15 Robert M. Elder , Alessio Zaccone , Timothy W. Sirk

Machine learning techniques have been used to quantify the relationship between local structural features and variations in local dynamical activity in disordered glass-forming materials. To date these methods have been applied to an array…

Soft Condensed Matter · Physics 2021-01-07 Indrajit Tah , Tristan A. Sharp , Andrea J. Liu , Daniel M. Sussman

While deeply supercooled liquids exhibit divergent viscosity and increasingly heterogeneous dynamics as the temperature drops, their structure shows only seemingly marginal changes. Understanding the nature of relaxation processes in this…

Materials Science · Physics 2022-11-03 Matthias Lerbinger , Armand Barbot , Damien Vandembroucq , Sylvain Patinet

Stretched exponential relaxation is a ubiquitous feature of homogeneous glasses. The stretched exponential decay function can be derived from the diffusion-trap model, which predicts certain critical values of the fractional stretching…

Soft Condensed Matter · Physics 2018-03-22 John C. Mauro , Yihong Z. Mauro

Materials with memory, namely those materials whose mechanical and/or thermodynamical behaviour depends on time not only via the present time, but also through its past history, are considered. Specifically, a three dimensional viscoelastic…

Mathematical Physics · Physics 2019-06-03 Sandra Carillo

The ratio between the couplings of a relaxational process to compression and shear, respectively, is calculated in the Eshelby picture of structural rearrangements within a surrounding elastic matrix, assuming a constant density of stable…

Disordered Systems and Neural Networks · Physics 2016-04-19 U. Buchenau

We take advantage of the approximation of the stretched exponential function with a general Prony series in glass relaxation to give some results about the spectral analysis for the equation of viscoelasticity. Moreover, in the case of the…

Analysis of PDEs · Mathematics 2019-06-26 Paola Loreti , Daniela Sforza

We consider a distributed system of a type which is encountered in the study of diffusion processes with memory and in viscoelasticity. The key feature of such system is the persistence in the future of the past actions due the memory…

Optimization and Control · Mathematics 2016-09-27 S. Avdonin , L. Pandolfi

The deformation kinetics for glassy polymers confined in microscopic domain at very low temperature regime was investigated using a transition-rate-state dependent model considering the shear thinning behavior which means, once material…

Soft Condensed Matter · Physics 2009-04-09 Guanghua Zhu

We propose a new material viscoelastic model and mathematical solution to simulate relaxation modulus and viscoelastic response. The model formula of relaxation modulus is extended from sigmoidal function considering nonlinear strain…

Materials Science · Physics 2016-03-03 Qinwu Xu , Bjorn Engquist

We theoretically investigate glass transition behaviors of the glassy graphene in a wide range of temperature, where this amorphous graphene is described as a hard-sphere fluid. The dynamic arrest of a particle is assumingly caused by…

Soft Condensed Matter · Physics 2020-03-11 Tran Dinh Cuong , Anh D. Phan , Katsunori Wakabayashi , Pham Thanh Huy

The present article is concerned with modelling the viscoelastic behavior of Polydimethylsiloxane (PDMS) in large-strain regime. Starting from the basic principles of thermodynamics, an incremental variational formulation is derived. Within…

Applied Physics · Physics 2024-02-13 Mario Kunzemann , Leonhard K. Doppelbauer , Rene Preuer , Astrid Pechstein

Soft glassy materials are out of thermodynamic equilibrium and show time dependent slowing down of the relaxation dynamics. Under such situation these materials follow Boltzmann superposition principle only in the effective time domain,…

Soft Condensed Matter · Physics 2012-03-27 Rahul Gupta , Bharat Baldewa , Yogesh M. Joshi

Extensibility is beyond the paradigm of classical soft glassy materials, and more broadly, yield-stress fluids. Recently, model yield-stress fluids with significant extensibility have been designed by adding polymeric phases to classically…

Soft Condensed Matter · Physics 2023-11-29 Samya Sen , Rubens R. Fernandes , Randy H. Ewoldt

In this work, we investigate the transient rheological behavior of two soft glassy materials: a clay dispersion and a silica gel, emphasizing their unconventional shear stress build-up behavior under conditions of constant imposed strain.…

Soft Condensed Matter · Physics 2025-04-02 Vivek Kumar , Gareth H McKinley , Yogesh M Joshi

We show numerically that a three-dimensional model for structural glass displays aging, rejuvenation and memory effects when submitted to a temperature cycle. These effects indicate that the free energy landscape of structural glasses may…

Soft Condensed Matter · Physics 2019-07-03 Camille Scalliet , Ludovic Berthier

We present an algorithm for the identification of the relaxation kernel in the theory of diffusion systems with memory (or of viscoelasticity) which is linear, in the sense that we propose a linear Volterra integral equation of convolution…

Optimization and Control · Mathematics 2017-05-24 L. Pandolfi

We consider a distributed system with persistent memory of a type which is often encountered in viscoelasticity or in the study of diffusion processes with memory. The relaxation kernel, i.e. the kernel of the memory term, is scarcely known…

Dynamical Systems · Mathematics 2015-03-16 Luciano Pandolfi

We present a first principle scheme to compute the rigidity, i. e. the shear-modulus of structural glasses at finite temperatures using the cloned liquid theory, which combines the replica theory and the liquid theory. With the aid of the…

Soft Condensed Matter · Physics 2012-06-08 Hajime Yoshino

Many recent experiments probed the off equilibrium dynamics of spin glasses and other glassy systems through temperature cycling protocols and observed memory and rejuvenation phenomena. Here we show through numerical simulations, using…

Disordered Systems and Neural Networks · Physics 2009-09-29 Florent Krzakala , Federico Ricci-Tersenghi
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