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相关论文: Nonlocal integral thermoelasticity: a thermodynami…

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Complications exist when solving the field equation in the nonlocal field. This has been attributed to the complexity of deriving explicit forms of the nonlocal boundary conditions. Thus, the paradoxes in the existing solutions of the…

应用物理 · 物理学 2018-04-24 Mohamed Shaat

In this research, the size-dependent static behaviour of elastic curved stubby beams is investigated by Timoshenko kinematics. Stress-driven two-phase integral elasticity is adopted to model size effects which soften or stiffen classical…

This paper presents a Finite Element Model Updating framework for identifying heterogeneous material distributions in planar Bernoulli-Euler beams based on a rotation-free isogeometric formulation. The procedure follows two steps: First,…

计算工程、金融与科学 · 计算机科学 2025-10-20 Bartłomiej Łazorczyk , Roger A. Sauer

Motivated by the existing complications of finding solutions of Eringen nonlocal model, an alternative model is developed here. The new formulation of the nonlocal elasticity is centered upon expressing the dynamic equilibrium requirements…

应用物理 · 物理学 2018-10-11 Mohamed Shaat

The paper is concerned with comparative analysis of differential and integral formulations for boundary value problems in nonlocal elasticity. For the sake of simplicity, the focus is on an antiplane problem for a half-space for an…

偏微分方程分析 · 数学 2021-07-22 Julius Kaplunov , Danila A Prikazchikov , Ludmila Prikazchikova

Asymptotic methods are used to derive a geometrically nonlinear beam model for thermoelastic solids with a spatially localised heat source. The asymptotic reduction is based on collapsing the heated region to a point. Away from the point of…

经典物理 · 物理学 2026-05-28 William T. Simpkins , Matteo Taffetani , Matthew G. Hennessy

Low-frequency simulations of a one-layer model with lateral buoyancy variations (i.e., thermodynamically active) have revealed circulatory motions resembling quite closely submesoscale observations in the surface ocean rather than…

大气与海洋物理 · 物理学 2021-04-14 F. J. Beron-Vera

We propose a model for thermo-elastic beams, consistent with the theory of linear three-dimensional thermo-elasticity and deduced by a suitable version of the Principle of Virtual Powers. Dimensional reduction is achieved by postulating…

材料科学 · 物理学 2014-01-21 Antonino Favata

While elastic metasurfaces offer a remarkable and very effective approach to the subwalength control of stress waves, their use in practical applications is severely hindered by intrinsically narrow band performance. This work introduces…

应用物理 · 物理学 2022-06-01 Hongfei Zhu , Timothy F. Walsh , Bradley H. Jared , Fabio Semperlotti

We develop a thermodynamic framework for modeling nonlinear ultrasonic damage sensing and prognosis in materials undergoing progressive damage. The framework is based on the internal variable approach and relies on the construction of a…

计算工程、金融与科学 · 计算机科学 2026-03-18 Vamshi Krishna Chillara

Soft-walled microchannels arise in many applications, ranging from organ-on-a-chip platforms to soft-robotic actuators. However, despite extensive research on their static and dynamic response, the potential failure of these devices has not…

计算工程、金融与科学 · 计算机科学 2026-03-17 Ziyu Wang , Ivan C. Christov

In this paper, we consider a class of variational problems with integral functionals involving nonlocal gradients. These models have been recently proposed as refinements of classical hyperelasticity, aiming for an effective framework to…

偏微分方程分析 · 数学 2025-09-04 Carolin Kreisbeck , Hidde Schönberger

A recent large deflection cantilever model is considered. The principal nonlinear effects come through the beam's inextensibility---local arc length preservation---rather than traditional extensible effects attributed to fully restricted…

偏微分方程分析 · 数学 2019-10-16 Maria Deliyianni , Varun Gudibanda , Jason Howell , Justin T. Webster

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…

数值分析 · 数学 2022-04-12 Stephan Teichtmeister , Marc-Andre Keip

A nonlocal field theory of peridynamic type is applied to model the brittle fracture problem. The elastic fields obtained from the nonlocal model are shown to converge in the limit of vanishing non-locality to solutions of classic plane…

偏微分方程分析 · 数学 2020-07-21 Robert P. Lipton , Prashant K. Jha

In this study, we develop a fractional-calculus based constitutive model for capturing nonlocal interactions over the multiphysics response in solids. More specifically, we develop constitutive relations for nonlocal piezoelectricity…

计算工程、金融与科学 · 计算机科学 2024-09-04 Shubham Desai , Sai Sidhardh

Weakly nonlocal thermodynamic theories are critically revisited. A relocalized, irreversible thermodynamic theory of nonlocal phenomena is given, based on a modified form of the entropy current and new kind of internal variables, the so…

材料科学 · 物理学 2009-11-07 Peter Van

We consider a class of nonconvex energy functionals that lies in the framework of the peridynamics model of continuum mechanics. The energy densities are functions of a nonlocal strain that describes deformation based on pairwise…

偏微分方程分析 · 数学 2023-06-28 Tadele Mengesha , James M. Scott

We study the system of nonisentropic thermoelasticity describing the motion of thermoelastic nonconductors of heat in two and three spatial dimensions, where the frame-indifferent constitutive relation generalizes that for compressible…

偏微分方程分析 · 数学 2020-09-24 Gui-Qiang G. Chen , Paolo Secchi , Tao Wang

Additively manufactured structures often exhibit a correlation between their mechanical properties, such as stiffness, strength, and porosity, and their wall thickness. This correlation stems from the interplay between the manufacturing…

最优化与控制 · 数学 2024-03-26 Sukhminder Singh , Lukas Pflug , Fabian Wein , Michael Stingl