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Simple models for ruptures along a heterogeneous earthquake fault zone are studied, focussing on the interplay between the roles of disorder and dynamical effects. A class of models are found to operate naturally at a critical point whose…

无序系统与神经网络 · 物理学 2009-10-30 Daniel S. Fisher , Karin Dahmen , Sharad Ramanathan , Yehuda Ben-Zion

In this paper we propose a new test of heteroscedasticity for parametric regression models and partial linear regression models in high dimensional settings. When the dimension of covariates is large, existing tests of heteroscedasticity…

统计方法学 · 统计学 2018-08-09 Falong Tan , Xuejun Jiang , Xu Guo , Lixing Zhu

In a spatial-temporal model, structural change and/or spatial heterogeneity can easily affect estimation of parameters. Following the spatial-temporal model in [1], we develop a nonparametric procedure for test-ing the presence of…

统计方法学 · 统计学 2021-07-07 Ruby Anne E. Lemence , Erniel B. Barrios

The aim of this work is to efficiently and robustly solve the statistical inverse problem related to the identification of the elastic properties at both macroscopic and mesoscopic scales of heterogeneous anisotropic materials with a…

经典物理 · 物理学 2020-06-29 Tianyu Zhang , Florent Pled , Christophe Desceliers

Incompressible nonlinearly hyperelastic materials are rarely simulated in Finite Element numerical experiments as being perfectly incompressible because of the numerical difficulties associated with globally satisfying this constraint. Most…

软凝聚态物质 · 物理学 2020-09-07 Aisling Ni Annaidh , Michel Destrade , Michael D. Gilchrist , Jerry G. Murphy

Successful modeling of degradation performance data is essential for accurate reliability assessment and failure predictions of highly reliable product units. The degradation performance measurements over time are highly heterogeneous. Such…

应用统计 · 统计学 2021-08-17 Xuxue Sun , Wenjun Cai , Qiong Zhang , Mingyang Li

Two classes of models of driven disordered systems that exhibit history-dependent dynamics are discussed. The first class incorporates local inertia in the dynamics via nonmonotonic stress transfer between adjacent degrees of freedom. The…

软凝聚态物质 · 物理学 2009-11-11 M. Cristina Marchetti

Heterogeneity of many building materials complicates numerical modelling of structural behaviour. The material randomicity can be manifested by different values of material parameters of each material specimen. To capture inherent…

计算工程、金融与科学 · 计算机科学 2026-02-17 Eliška Kočková , Anna Kučerová

Shale, like many other sedimentary rocks, is typically heterogeneous, anisotropic, and is characterized by partial alignment of anisotropic clay minerals and naturally formed bedding planes. In this study, a micromechanical framework based…

材料科学 · 物理学 2017-10-24 Weixin Li , Roozbeh Rezakhani , Congrui Jin , Xinwei Zhou , Gianluca Cusatis

Exact solutions are derived for the problem of a two-dimensional, infinitely anisotropic, linear-elastic medium containing a periodic lattice of voids. The matrix material possesses either one infinitely soft, or one infinitely hard loading…

材料科学 · 物理学 2008-04-17 Francois Willot , Yves-Patrick Pellegrini , Pedro Ponte Castaneda

In this paper, we propose a model-simulation framework for virtual tensile strength tests of random fiber structures, as they appear in nonwoven materials. The focus is on the efficient handling with respect to the problem-inherent…

数值分析 · 数学 2020-10-07 Marc Harmening , Nicole Marheineke , Raimund Wegener

This paper proposes a strategy for the detection and triangulation of structural anomalies in solid media. The method revolves around the construction of sparse representations of the medium's dynamic response, obtained by learning…

计算机视觉与模式识别 · 计算机科学 2014-05-13 Jeffrey M. Druce , Jarvis D. Haupt , Stefano Gonella

An original experimental approach is presented to automatically determine the average phase distribution around damage sites in multi-phase materials. An objective measure is found to be the average intensity around damage sites, calculated…

材料科学 · 物理学 2016-04-14 T. W. J. de Geus , C. Du , J. P. M. Hoefnagels , R. H. J. Peerlings , M. G. D. Geers

An important task in structural design is to quantify the structural performance of an object under the external forces it may experience during its use. The problem proves to be computationally very challenging as the external forces'…

机器学习 · 统计学 2018-10-26 Yining Wang , Erva Ulu , Aarti Singh , Levent Burak Kara

In this paper we investigate the statistical behavior of an annealed continuous damage model. For different model variations we study distributions of times to failure and compare these results with the classical case of metastable…

统计力学 · 物理学 2009-10-28 S. G. Abaimov , A. Roy , J. P. Cusumano

Concrete heterogeneity originates from its production process, which involves bonding aggregates with a binder matrix. This study presents a mesoscale finite element model (MFEM) that offers detailed insights into the fracture process at…

材料科学 · 物理学 2025-09-17 Jan Mašek , Petr Miarka

Reproducing the key features of fracture behavior under multiaxial stress states is essential for accurate modeling. Experimental evidence indicates that three intrinsic material properties govern fracture nucleation in elastic materials:…

Creep tests on heterogeneous materials under subcritical loading typically show a power-law decaying strain rate before failure, with the exponent often considered material-dependent but independent of applied stress. By imposing successive…

统计力学 · 物理学 2025-12-22 Chloé Braux , Antoine Bérut , Loïc Vanel

Efficient structural damage localization remains a challenge in structural health monitoring (SHM), particularly when the problem is coupled with uncertainty of conditions and complexity of structures. Traditional methods simply based on…

最优化与控制 · 数学 2025-09-29 Owais Saleem , Tim Suchan , Natalie Rauter , Kathrin Welker

The energy-based definition provides a viable resolution to the longstanding confusion on the proper definition of $n$-th order rigidity and flexibility in geometric constraint systems. Applying an energy-based local rigidity analysis to…

度量几何 · 数学 2025-06-30 Zeyuan He