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When a spatially localized stress is applied to a growing one-dimensional interface, the interface deforms. This deformation is described by the effective surface tension representing the stiffness of the interface. We present that the…

统计力学 · 物理学 2023-05-17 Mutsumi Minoguchi , Shin-ichi Sasa

This paper focuses on the isogeometric vibration analysis of curvilinearly stiffened composite panels. The stiffness matrices and the mass matrices are derived using the first-order shear deformation theory (FSDT). The present method models…

计算工程、金融与科学 · 计算机科学 2024-11-26 Balakrishnan Devarajan

Varying temperatures influence the figure errors of freeform metal mirrors by thermal expansion. Furthermore, different materials lead to thermo-elastic bending effects. The article presents a derivation of a compensation approach for…

应用物理 · 物理学 2018-06-06 Johannes Hartung , Henrik von Lukowicz , Jan Kinast

This paper investigates the behavior of a heavy soft spring in steady circular motion. Since the spring is inhomogeneous due to centrifugal force, one can rigorously prove that it follows the one-dimensional static Willis-form equations.…

经典物理 · 物理学 2018-03-23 R. W. Yao , H. X. Gao , Y. X. Sun , X. D. Yuan , Z. H. Xiang

Hierarchical (first-order) structured deformations are studied from the variational point of view. The main contributions of the present research are the first steps, at the theoretical level, to establish a variational framework to…

最优化与控制 · 数学 2022-08-26 Ana Cristina Barroso , José Matias , Marco Morandotti , David R. Owen , Elvira Zappale

The dynamics of sharp interfaces separating two non-hydrostatically stressed solids is analyzed using the idea that the rate of mass transport across the interface is proportional to the thermodynamic potential difference across the…

材料科学 · 物理学 2009-11-13 Luiza Angheluta , Espen Jettestuen , Joachim Mathiesen

Mechanical deformation of amorphous solids can be described as consisting of an elastic part in which the stress increases linearly with strain, up to a yield point at which the solid either fractures or starts deforming plastically. It is…

无序系统与神经网络 · 物理学 2020-03-25 Baoshuang Shang , Pengfei Guan , Jean-Louis Barrat

Built on the tenets of rational thermodynamics, this article proposes a theory of strain gradient thermo-visco-plasticity for isotropic polycrystalline materials under high strain rates. The effect of micro-inertia, which arises due to…

材料科学 · 物理学 2016-01-28 Md M Rahaman , A Pathak , D Roy , J N Reddy

This paper presents a comprehensive computational framework for investigating thermo-elastic fracture in transversely isotropic materials, where classical linear elasticity fails to predict physically realistic behavior near stress…

数值分析 · 数学 2025-10-08 Saugata Ghosh , Dambaru Bhatta , S. M. Mallikarjunaiah

Initially stressed plates are widely used in modern fabrication techniques, such as additive manufacturing and UV lithography, for their tunable morphology by application of external stimuli. In this work, we propose a formal asymptotic…

软凝聚态物质 · 物理学 2022-12-07 P. Ciarletta , G. Pozzi , D. Riccobelli

A thin circular elastic sheet floating on a drop-like liquid substrate is deformed due to incompatibility between the curved substrate and the planar sheet. We adopt a variational viewpoint by minimizing the non-convex membrane energy…

偏微分方程分析 · 数学 2026-02-19 Peter Bella , Carlos Román

This work focuses on planar growth-induced instabilities in three-dimensional bilayer structures, i.e., thick stiff film on a compliant substrate. Growth-induced instabilities are examined for a different range of fiber stiffness with a…

数值分析 · 数学 2022-08-01 Cem Altun , Ercan Gürses , Hüsnü Dal

In this letter, structural rigidity concepts are used to understand the origin of instabilities in granular aggregates. It is shown that: a) The contact network of a noncohesive granular aggregate becomes exactly isostatic in the limit of…

统计力学 · 物理学 2009-10-31 Cristian F. Moukarzel

The concept of a local linear elastic strain field is commonly used in the metallurgical research community to approximate the collective effect of atomic displacements around crystalline defects. Here we show that the elastic strain field…

软凝聚态物质 · 物理学 2018-06-27 Bryan VanSaders , Julia Dshemuchadse , Sharon C. Glotzer

A rectangular thin elastic sheet is deformed by forcing a contact between two points at the middle of its length. A transition to buckling with stress focusing is reported for the sheets sufficiently narrow with a critical width…

软凝聚态物质 · 物理学 2021-07-14 Thomas Barois , Ilyes Jalisse , Loïc Tadrist , Emmanuel Virot

One considers linearly thermoelastic composite media, which consist of a homogeneous matrix containing a statistically homogeneous random set of ellipsoidal uncoated or coated inclusions. Effective properties (such as compliance and thermal…

材料科学 · 物理学 2009-12-22 Valeriy A. Buryachenko

In this paper, electrothermal field phenomena in electronic components are considered. This coupling is tackled by multiphysical field simulations using the Finite Integration Technique (FIT). In particular, the design of bonding wires with…

计算工程、金融与科学 · 计算机科学 2016-10-17 Thorben Casper , Herbert De Gersem , Renaud Gillon , Tomas Gotthans , Tomas Kratochvil , Peter Meuris , Sebastian Schöps

Slow crack growth in a model of homogenous brittle elastic material is described as a thermal activation process where stress fluctuations allow to overcome a breaking threshold through a series of irreversible steps. We study the case of a…

统计力学 · 物理学 2009-11-10 S. Santucci , L. Vanel , A. Guarino , R. Scorretti , S. Ciliberto

The simplified model of first-order transition in a media with frozen long-range transition-temperature disorder is considered. It exhibits the smearing of the transition due to appearance of the intermediate inhomogeneous phase with…

无序系统与神经网络 · 物理学 2009-11-10 P. N. Timonin

This study presents a novel physics informed, data-driven modeling framework for capturing the strongly nonlinear thermo-viscoelastic behavior of soft materials exhibiting stress softening, with emphasis on the Mullins effect. Unlike…

软凝聚态物质 · 物理学 2025-07-18 Alireza Ostadrahimi , Amir Teimouri , Kshitiz Upadhyay , Guoqiang Li