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We develop a continuum theory for thermoelectric bodies following the framework of continuum mechanics and conforming to general principles of thermodynamics. For steady states, the governing equations for local fields are intrinsically…

Materials Science · Physics 2012-03-05 Liping Liu

The thermodynamics and transport properties of polymeric materials are essential for the design of reactors and for the development of polymer deconstruction processes. Existing property prediction tools such as correlations based on…

We consider a free surface thin film placed on a thermally conductive substrate and exposed to an external heat source in a setup where the heat absorption depends on the local film thickness. Our focus is on modeling film evolution while…

Fluid Dynamics · Physics 2021-04-21 Ryan H. Allaire , Linda J. Cummings , Lou Kondic

This work presents a modeling framework to represent the thermomechanical behavior of complex materials based on micromechanical dynamics. The framework is applied to nuclear fuel rod elements composed of Zircaloy-2 cladding tubes and…

Computational Physics · Physics 2025-10-16 Fabrizio Aguzzi , Martín Armoa , Santiago M. Rabazzi , César Pairetti , Alejandro Albanesi

We present an application of the theory of stochastic processes to model and categorize non-equilibrium physical phenomena. The concepts of uniformly continuous probability measures and modular evolution lead to a systematic hierarchical…

Mathematical Physics · Physics 2009-08-18 Enrique Hernandez-Lemus , Jesus K. Estrada-Gil

Based on a modified expression of the rate of the convective constraint release, we present a new contour-variable model of constitutive equations in which the non-uniform segmental stretch and the non-Gaussian chain statistical treatment…

Fluid Dynamics · Physics 2009-08-03 Shuanhu Qi , Shuang Yang , Dadong Yan

The aim of this paper is to develop a general constitutive scheme within continuum thermodynamics to describe the behavior of heat flow in deformable media. Starting from a classical thermodynamic approach, the rate-type constitutive…

Mathematical Physics · Physics 2023-12-18 Claudio Giorgi , Federico Zullo

We study the viscoelastic response of amorphous polymers using theory and simulations. By accounting for internal stresses and considering instantaneous normal modes (INMs) within athermal non-affine theory, we make parameter-free…

We propose a data-driven constitutive framework for anisotropic damage mechanics based on the second-order damage tensor approach for both compressible and incompressible materials. The formulation is thermodynamically consistent and…

Applied Physics · Physics 2025-08-11 Amirhossein Amiri-Hezaveh , Adrian Buganza Tepole

The rheology of biological tissue is key to processes such as embryo development, wound healing and cancer metastasis. Vertex models of confluent tissue monolayers have uncovered a spontaneous liquid-solid transition tuned by cell shape;…

Soft Condensed Matter · Physics 2023-10-02 Suzanne M. Fielding , James O. Cochran , Junxiang Huang , Dapeng Bi , M. Cristina Marchetti

We focus on a highly nonlinear evolutionary abstract PDE system describing volume processes coupled with surfaces processes in thermoviscoelasticity, featuring the quasi-static momentum balance, the equation for the unidirectional evolution…

Analysis of PDEs · Mathematics 2014-02-11 Elena Bonetti , Giovanna Bonfanti , Riccarda Rossi

The rheological properties of biological tissues, though fundamental to many physiological and pathological processes such as embryonic development, wound healing, and tumor progression, remain poorly understood. A recent study showed that…

Soft Condensed Matter · Physics 2026-02-25 Tanmoy Ghosh , Kabir Ramola , Saroj Kumar Nandi

Understanding the biomechanics of the heart in health and disease plays an important role in the diagnosis and treatment of heart failure. The use of computational biomechanical models for therapy assessment is paving the way for…

Observations are reported in isothermal torsional oscillation tests on melts of isotactic polypropylene (iPP) and low-density polyethylene (LDPE) in the intervals of temperature between 190 and 250C (iPP) and between 120 and 190C (LDPE).…

Materials Science · Physics 2007-05-23 A. D. Drozdov , S. Agarwal , R. K. Gupta

The multiplicative decomposition model is widely employed for predicting residual stresses and morphologies of biological tissues due to growth. However, it relies on the assumption that the tissue is initially in a stress-free state, which…

Soft Condensed Matter · Physics 2020-09-04 Yangkun Du , Chaofeng Lü , Weiqiu Chen , Michel Destrade

The paper presents a versatile framework for solids which undergo nonisothermal processes with irreversibly changing microstructure at large strains. It outlines rate-type and incremental variational principles for the full thermomechanical…

Numerical Analysis · Mathematics 2022-04-12 Stephan Teichtmeister , Marc-Andre Keip

This work presents a unified viscoelastic-viscoplastic continuum framework for modeling rate-dependent granular flows across regimes. The formulation incorporates two distinct rate-dependent mechanisms, namely micro-inertia and viscoelastic…

Soft Condensed Matter · Physics 2026-04-28 Bodhinanda Chandra , Sachith Dunatunga , Ken Kamrin

A series of tensile relaxation tests is performed on isotactic polypropylene in the sub-yield and post-yield regions at room temperature. Constitutive equations are derived for the time-dependent response of a semicrystalline polymer at…

Materials Science · Physics 2007-05-23 A. D. Drozdov , J. deC. Christiansen

The effective quasistatic conductivity of composite polymeric electrolytes is studied in terms of a hard-core--penetrable-layer model. Used to incorporate the interface phenomena (such as amorphization of the polymer matrix around filler…

Materials Science · Physics 2019-11-05 M. Ya. Sushko , A. K. Semenov

The linear response to temperature changes is derived for systems with overdamped stochastic dynamics. Holding both in transient and steady state conditions, the results allow to compute nonequilibrium thermal susceptibilities from…

Statistical Mechanics · Physics 2016-04-11 Gianmaria Falasco , Marco Baiesi