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Diffusion in a linear potential in the presence of position-dependent killing is used to mimic a default process. Different assumptions regarding transport coefficients, initial conditions, and elasticity of the killing measure lead to…

Computational Finance · Quantitative Finance 2015-05-30 Yuri A. Katz

Multi-phase material are frequently applied in a wide variety of products, as they posses a unique set of properties by combining two or more distinct phases at the level of the microstructure. Although the macroscopic stiffness and…

Materials Science · Physics 2016-04-13 T. W. J. de Geus , R. H. J. Peerlings , M. G. D. Geers

Faults are complex systems embedded in an evolving medium fractured by seismic ruptures. This off-fault damage zone is shown to be thermo-hydro-mechano-chemically coupled to the main fault plane by a growing number of studies. Yet,…

Geophysics · Physics 2024-10-22 Roxane Ferry , Marion Y. Thomas , Harsha S. Bhat , Pierpaolo Dubernet

Morphological development into evolutionary patterns under structural instability is ubiquitous in living systems and often of vital importance for engineering structures. Here we propose a data-driven approach to understand and predict…

Pattern Formation and Solitons · Physics 2024-07-23 Yingjie Zhao , Zhiping Xu

We investigate compressive failure of heterogeneous materials on the basis of a continuous progressive damage model. The model explicitely accounts for tensile and shear local damage and reproduces the main features of compressive failure…

Materials Science · Physics 2012-05-03 Lucas Girard , Jerome Weiss , David Amitrano

One of the major factors governing the mode of failure in disordered solids is the effective range $R$, over which the stress field is modified following a local rupture event. In random fiber bundle model, considered as a prototype of…

Statistical Mechanics · Physics 2015-05-29 Soumyajyoti Biswas , Subhadeep Roy , Purusattam Ray

Integral-type nonlocal damage models describe the fracture process zones by regular strain profiles insensitive to the size of finite elements, which is achieved by incorporating weighted spatial averages of certain state variables into the…

Materials Science · Physics 2014-06-16 Peter Grassl , Dimitrios Xenos , Milan Jirásek , Martin Horák

Several aspects influence corrosive processes in RC structures, such as environmental conditions, structural geometry, and mechanical properties. Since these aspects present large randomnesses, probabilistic models allow a more accurate…

Numerical Analysis · Mathematics 2021-04-20 Karolinne O. Coelho , Edson D. Leonel , Julio Flórez-López

Due to their microstructure, quasi brittle materials present rough cracks. Under sliding of the crack lips, this roughness involves in one hand induced opening and in the other hand some apparent plasticity which is due to the interlocking…

Classical Physics · Physics 2009-11-30 Marc Louis Maurice François

At temperatures below the onset of vacancy migration, metals exposed to energetic ions develop dynamically fluctuating steady-state microstructures. Statistical properties of these microstructures in the asymptotic high exposure limit are…

Materials Science · Physics 2022-10-13 Max Boleininger , Daniel R. Mason , Andrea E. Sand , Sergei L. Dudarev

The mechanical properties of a material are intimately related to its microstructure. This is particularly important for predicting mechanical behavior of polycrystalline metals, where microstructural variations dictate the expected…

Materials Science · Physics 2024-01-23 Yejun Gu , Christopher D. Stiles , Jaafar A. El-Awady

An image-based deep learning framework is developed in this paper to predict damage and failure in microstructure-dependent composite materials. The work is motivated by the complexity and computational cost of high-fidelity simulations of…

Machine Learning · Computer Science 2022-06-07 Reza Sepasdar , Anuj Karpatne , Maryam Shakiba

Molecular dynamics simulations have been performed to understand the variations in deformation mechanisms of Cu nanowires as a function of orientation and loading mode (tension or compression). Cu nanowires of different crystallographic…

Materials Science · Physics 2018-09-05 P. Rohith , G. Sainath , B. K. Choudhary

This paper presents a framework for modeling failure in quasi-brittle geomaterials under different loading conditions. A micromechanics-based model is proposed in which the field variables are linked to physical mechanisms at the microcrack…

Materials Science · Physics 2021-11-12 Jacinto Ulloa , Jef Wambacq , Roberto Alessi , Esteban Samaniego , Geert Degrande , Stijn François

The performance of learning models often deteriorates when deployed in out-of-sample environments. To ensure reliable deployment, we propose a stability evaluation criterion based on distributional perturbations. Conceptually, our stability…

Machine Learning · Statistics 2024-05-07 Jose Blanchet , Peng Cui , Jiajin Li , Jiashuo Liu

The study reports a systematic evaluation of the role of spatially correlated mechanical elements on failure behavior of heterogeneous materials represented by fiber bundle models (FBM) with different load redistribution rules. The increase…

Adaptation and Self-Organizing Systems · Physics 2013-10-23 Jerome Faillettaz , Dani Or

This paper presents an analytical study about the behavior of arbitrary shaped and sized non-cohesive two-dimensional granular materials. Several mechanical properties and relations are unraveled by connecting micro and macro scales in an…

Geophysics · Physics 2013-02-06 Alex X. Jerves , José E. Andrade

Many biological tissues, such as bones and ligaments, are fibrous. The geometrical structure of these tissues shows that they exhibit a similar hierarchy in their ultra-structure and macro-structure. The aim of this work is to develop a…

Classical Physics · Physics 2007-05-23 Martine Pithioux , P. Chabrand , M. Jean

The developed computational approach is capable of initiating and propagating cracks inside materials and along material interfaces of general multi-domain structures under quasi-static conditions. Special attention is paid to particular…

Computational Engineering, Finance, and Science · Computer Science 2023-08-23 Roman Vodička

The failure probabilities or the strength distributions of heterogeneous 1D systems with continuous local strength distribution and local load sharing have been studied using a simple, exact, recursive method. The fracture behavior depends…

Disordered Systems and Neural Networks · Physics 2009-10-31 B. Q. Wu , P. L. Leath