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Fracture involves interaction across large and small length scales. With the application of enough stress or strain to a brittle material, atomistic scale bonds will break, leading to fracture of the macroscopic specimen. From the…

Soft Condensed Matter · Physics 2022-02-04 Debdeep Bhattacharya , Patrick Diehl , Robert P. Lipton

Structured metamaterials are at the core of extensive research, promising for acoustic and thermal engineering. Nevertheless, the computational cost required for correctly simulating large systems imposes to use a continuous model to…

Soft Condensed Matter · Physics 2022-03-14 Haoming Luo , Valentina M. Giordano , Anthony Gravouil , Anne Tanguy

Understanding the fracture mechanisms in composite materials across scales, from nano- to micro-scales, is essential for an in-depth understanding of the reinforcement mechanisms and designing the next generation of lightweight,…

Materials Science · Physics 2024-11-25 Qinghua Zhang , Navid Valizadeh , Mingpeng Liu , Xiaoying Zhuang , Bohayra Mortazavi

In this paper, we propose a categorical embedding discontinuity-capturing shallow neural network for anisotropic elliptic interface problems. The architecture comprises three hidden layers: a discontinuity-capturing layer, which maps domain…

Numerical Analysis · Mathematics 2025-09-30 Wei-Fan Hu , Te-Sheng Lin , Yu-Hau Tseng , Ming-Chih Lai

The deformation of brittle material is primarily accompanied by micro-cracking and faulting. However, it has often been found that continuum fluid models, usually based on a non-Newtonian viscosity, are applicable. To explain this rheology,…

Materials Science · Physics 2016-12-28 K. Z. Nanjo

Earthquakes cause catastrophic damage to buildings and loss of human life. Civil engineers across the globe design earthquake-resistant buildings to minimize this damage. Conventionally, the structures are designed to resist the…

Numerical modeling of different structural materials that have highly nonlinear behaviors has always been a challenging problem in engineering disciplines. Experimental data is commonly used to characterize this behavior. This study aims to…

Machine Learning · Computer Science 2020-07-28 Elif Ecem Bas , Denis Aslangil , Mohamed A. Moustafa

This paper presents a new numerical procedure for evaluating the vibration frequencies and mode shapes of masonry buildings in the presence of cracks. The algorithm has been implemented within the NOSA-ITACA code, which models masonry as a…

Computational Engineering, Finance, and Science · Computer Science 2016-11-03 Maria Girardi , Cristina Padovani , Daniele Pellegrini

This paper presents a novel application of tensegrity systems as lightweight and noninvasive braces for seismically resistant structures. The analyzed braces consist of D-bar systems equipped with shape memory alloy cables with superelastic…

Applied Physics · Physics 2019-10-17 Fernando Fraternali , Filipe Santos

In this paper, first the non-standard limit analysis 2D problem for reinforced masonry structures is suitably reformulated, giving a innovative computational framework for the evaluation of the strengthening effects of tensile…

Optimization and Control · Mathematics 2025-09-03 Aguinaldo Fraddosio , Celeste Lasorella , Mario Daniele Piccioni , Elio Sacco

Immediately following a disaster event, such as an earthquake, estimates of the damage extent play a key role in informing the coordination of response and recovery efforts. We develop a novel impact estimation tool that leverages a…

Applications · Statistics 2025-01-15 Max Anderson Loake , Hamish Patten , David Steinsaltz

We describe in this paper a crossbridge model in which an attached crossbridge behaves like a linear spring with a variable rest length. We assume in particular that the rest length has a linear force-velocity relation, and that the force…

Biological Physics · Physics 2025-05-27 Mengjian Hua , Charles S. Peskin

A macro-constitutive model for the deformation response of periodic rotating bistable auxetic surfaces is developed. Focus is placed on isotropic surfaces made of bistable hexagonal cells composed of six triangular units with two stable…

Applied Physics · Physics 2025-12-01 Emmanuel Sansusthy Tardio , Tian Chen , Theocharis Baxevanis

This study presents a 3D version of multiscale approach for investigating magnetization dynamics in multiscale, hybrid micromagnetic-atomistic simulations. The present work introduces engineered discontinuities (i) a double-slit structure,…

Materials Science · Physics 2026-04-16 Nastaran Salehi , Olle Eriksson , Johan Hellsvik , Manuel Pereiro

The concepts of probability, statistics and stochastic theory are being successfully used in structural engineering. Markov Chain modelling is a simple stochastic process model that has found its application in both describing stochastic…

Applications · Statistics 2007-08-14 K. Balaji Rao

A constitutive model based on the combination of damage mechanics and plasticity is developed to analyse concrete structures subjected to dynamic loading. The aim is to obtain a model, which requires input parameters with clear physical…

Materials Science · Physics 2011-03-09 Peter Grassl , Ulrika Nystrom , Rasmus Rempling , Kent Gylltoft

We combine classical continuum mechanics with the recently developed calculus for mixed-dimensional problems to obtain governing equations for flow in, and deformation of, fractured materials. We present models both in the context of finite…

Analysis of PDEs · Mathematics 2021-12-10 Wietse M. Boon , Jan M. Nordbotten

Microscopic models of the interaction between grain boundaries (GBs) and both dislocations and cracks are of importance in understanding the role of microstructure in altering the mechanical properties of a material. A recently developed…

Materials Science · Physics 2009-10-30 V. B. Shenoy , R. Miller , E. B. Tadmor , R. Phillips , M. Ortiz

Wood as the most important natural and renewable building material plays an important role in the construction sector. Nevertheless, its hygroscopic character basically affects all related mechanical properties leading to degradation of…

Soft Condensed Matter · Physics 2014-11-06 Mohammad Masoud Hassani , Falk K. Wittel , Stefan Hering , Hans J. Herrmann

In recent years, significant advancements have been made in computational methods for analyzing masonry structures. Within the Finite Element Method, two primary approaches have gained traction: Micro and Macro Scale modeling, and their…

Computational Engineering, Finance, and Science · Computer Science 2024-09-02 Alejandro Cornejo , Philip Kalkbrenner , Riccardo Rossi , Luca Pelà