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Addressing the intricate challenges in plane elasticity, especially with non-vanishing traction and complex geometries, requires innovative methods. This paper offers a novel approach, drawing inspiration from the Neumann problem for the…

材料科学 · 物理学 2025-04-09 Andreas Granath , Per Åhag , Antti Perälä , Rafał Czyż

A boundary element formulation is developed to determine the complex stress intensity factors associated with cracks on the interface between dissimilar materials. This represents an extension of the methodology developed previously by the…

计算物理 · 物理学 2010-03-02 Ali R. Hadjesfandiari , Gary F. Dargush

We study the existence of scalar fields outside neutral reflecting shells. We consider static massive scalar fields non-minimally coupled to the Gauss-Bonnet invariant. We analytically investigated properties of scalar fields through the…

广义相对论与量子宇宙学 · 物理学 2023-03-01 Yan Peng

In recent years, there has been discussion in the literature regarding methods of estimating the magnitude of the minimum principal stress from subsurface fracture injection tests, commonly called Diagnostic Fracture Injection Tests…

地球物理 · 物理学 2019-04-16 Mark W. McClure

The use of the interaction integral to compute stress intensity factors around a crack tip requires selecting an auxiliary field and a material variation field. We formulate a family of these fields accounting for the curvilinear nature of…

数值分析 · 数学 2015-01-16 Maurizio M. Chiaramonte , Yongxing Shen , Leon M. Keer , Adrian J. Lew

Conformally flat spacetimes with an elastic stress energy tensor given by a diagonal trace-free anisotropic pressure tensor are investigated using 1+3 formalism. We show how the null tetrad Ricci components are related to the pressure…

数学物理 · 物理学 2015-01-13 I. Brito , M. P. Machado Ramos

A mathematical model for crack-tip fields is proposed in this paper for the response of a three-dimensional (3-D) porous elastic solid whose material moduli are dependent on the density. Such a description wherein the generalized Lam\`e…

数值分析 · 数学 2025-03-11 Kun Gou , S. M. Mallikarjunaiah

Developing a macroscopic theory of elasto-plasticity in amorphous solids calls for (i) identifying the relevant macro state-variables and (ii) discriminating the different time-scales which characterize these variables. In current theories…

The Comment by Markenscoff that criticizes a recent dynamic extension of the Peierls-Nabarro equation [Y.-P. Pellegrini, Phys. Rev. B 81, 024101 (2010)] is refuted by means of simple examples that illustrate the interest of using an…

材料科学 · 物理学 2011-02-10 Yves-Patrick Pellegrini

By using the 3+1 point of view and parametrized Minkowski theories we develop the theory of {\it non-inertial} frames in Minkowski space-time. The transition from a non-inertial frame to another one is a gauge transformation connecting the…

广义相对论与量子宇宙学 · 物理学 2010-03-26 David Alba , Luca Lusanna

In this paper, we present a self-consistent field theory of macroscopic forces in spatially inhomogeneous flexible chain polyelectrolyte solutions. We derive an analytical expression for a stress tensor which consists of three terms:…

软凝聚态物质 · 物理学 2023-03-01 Yury Budkov , Nikolai Kalikin

Fractonic superfluids are exotic phases of matter in which bosons are subject to mobility constraints, resulting in features beyond those of conventional superfluids. These exotic phases arise from the spontaneous breaking of higher-rank…

强关联电子 · 物理学 2023-08-15 Shuai A. Chen , Peng Ye

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

Stress-stress correlations in crystalline solids with long-range order can be straightforwardly derived using elasticity theory. In contrast, the `emergent elasticity' of amorphous solids, rigid materials characterized by an underlying…

软凝聚态物质 · 物理学 2025-07-04 Jimin Bai , Long-Zhou Huang , Jin Shang , Yun-Jiang Wang , Jie Zhang , Matteo Baggioli

We study the stability of fluctuations around a homogeneous non-Abelian electric field background that is of a form that is protected from Schwinger pair production. Our analysis identifies the unstable modes and we find a limiting set of…

高能物理 - 理论 · 物理学 2022-12-07 Jude Pereira , Tanmay Vachaspati

In this work we study the presence of kinks in models described by two real scalar fields in bi-dimensional space-time. We generate new two-field models, constructed from distinct but important one-field models, and we solve them with…

高能物理 - 理论 · 物理学 2013-09-10 A. Alonso-Izquierdo , D. Bazeia , L. Losano , J. Mateos Guilarte

We study "circular net" (discrete orthogonal net) equations for angular data generalized by external spectral parameters. A criterion defining physical regimes of these Hamiltonian equations is the reality of Lagrangian density. There are…

可精确求解与可积系统 · 物理学 2009-07-22 Sergey M. Sergeev

While crack nucleation and propagation in the brittle or quasi-brittle regime can be predicted via variational or material-force-based phase field fracture models, these models often assume that the underlying elastic response of the…

计算工程、金融与科学 · 计算机科学 2020-08-13 Hyoung Suk Suh , WaiChing Sun , Devin O'Connor

In this publication we present an extension of the Standard Model within the framework of Connes' noncommutative geometry [1]. The model presented here is based on a minimal spectral triple [7] which contains the Standard Model particles,…

高能物理 - 理论 · 物理学 2013-04-02 Christoph A. Stephan

The deformation and flow of disordered solids, such as metallic glasses and concentrated emulsions, involves swift localized rearrangements of particles that induce a long-range deformation field. To describe these heterogeneous processes,…

无序系统与神经网络 · 物理学 2019-01-02 Alexandre Nicolas , Ezequiel E. Ferrero , Kirsten Martens , Jean-Louis Barrat