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From a simple bulk model for the one-dimensional steady-state solidification of a dilute binary alloy we derive an interface description, allowing arbitrary values of the growth velocity. Our derivation leads to exact expressions for the…

Materials Science · Physics 2015-06-05 Alexander L. Korzhenevskii , Richard Bausch , Rudi Schmitz

Modelling of rough frictional interfaces is often based on asperity models, in which the individual behaviour of individual microjunctions is assumed. In the absence of local measurements at the microjunction scale, quantitative comparison…

Soft Condensed Matter · Physics 2020-05-07 Julien Scheibert , Riad Sahli , Michel Peyrard

We study unique continuation over an interface using a stabilized unfitted finite element method tailored to the conditional stability of the problem. The interface is approximated using an isoparametric transformation of the background…

Numerical Analysis · Mathematics 2024-08-19 Erik Burman , Janosch Preuss

Impact simulations for damage resistance analysis are computationally intensive due to contact algorithms and advanced damage models. Both methods, which are the main ingredients in an impact event, require refined meshes at the contact…

Computational Engineering, Finance, and Science · Computer Science 2023-01-18 G. Guillamet , A. Quintanas-Corominas , M. Rivero , G. Houzeuax , M. Vázquez , A. Turon

In this paper, we focus on multi-scale modeling and simulation of piezoelectric composite materials. A multi-scale model for piezoelectric composite materials under the framework of Heterogeneous Multi-scale Method(HMM) is proposed. For…

Mathematical Physics · Physics 2014-02-18 Qian Zhang , Xingye Yue

With the widespread application of composite structures in the fields of building and bridge constructions, thin-covered composite dowels are increasingly adopted in various engineering scenarios. This paper presents a design methodology…

Applied Physics · Physics 2025-02-27 Zhihua Xiong , Jiaqi Li , Xulin Mou , Tiankuo Wang , Abedulgader Baktheer , Markus Feldmann

Composite joints with high-performance close to the parent materials of aluminum matrix composites were fabricated by a new joining technology assisted by ultrasonic vibration. We found both the microstructure and the mechanical performance…

Materials Science · Physics 2017-07-05 Xuesong Leng , Wei Yang , Jiaheng Zhang , Xing Ma , Weiwei Zhao , Jiuchun Yan

This paper investigates the influence of interfaces on the performance of finite-sized mechanical metamaterial structures for vibration damping applications. The metamaterial structures are designed in a sandwich configuration in which two…

Applied Physics · Physics 2026-04-30 Svenja Hermann , Kévin Billon , Manuel Collet , Angela Madeo

Properties of engineering materials are generally influenced by defects such as point defects (vacancies, interstitials, substitutional defects), line defects (dislocations), planar defects (grain boundaries, free surfaces/nanostructures,…

Materials Science · Physics 2016-05-27 Kamal Choudhary

We investigate numerically, using the bond-fluctuation model, the adsorption of many random AB--copolymers with excluded volume interactions at the interface between two solvents. We find two regimes, controlled by the total number of…

Soft Condensed Matter · Physics 2007-05-23 Gongwen Peng , Jens-Uwe Sommer , Alexander Blumen

We investigate the global failure threshold of an interconnected set of elements, when a finite fraction of the elements initially share an externally applied load. The study is done under the framework of random fiber bundle model, where…

Statistical Mechanics · Physics 2018-07-09 Soumyajyoti Biswas , Parongama Sen

We investigate numerically the failure process when two elastic media, one hard and one soft that have been glued together thus forming a common interface, are pulled apart. We present three main results: (1) The area distribution of…

Condensed Matter · Physics 2009-11-07 G. George Batrouni , Alex Hansen , Jean Schmittbuhl

Complex morphologies and microstructures that emerge during materials growth and solidification are often determined by both equilibrium and kinetic properties of the interface and their crystalline anisotropies. However limited knowledge…

Materials Science · Physics 2016-03-02 Zhi-Feng Huang

As a model of composite material, the fiber bundle model has been chosen -where a bundle of fibers is subjected to external load and fibers have distributed thresholds. For different loading conditions, such a system shows few precursors…

Materials Science · Physics 2015-05-19 Srutarshi Pradhan

A micropolar cohesive damage model for delamination of composites is proposed. The main idea is to embed micropolarity, which brings an additional layer of kinematics through the micro-rotation degrees of freedom within a continuum model to…

Materials Science · Physics 2015-04-28 Md. M Rahaman , S P Deepu , D Roy , J N Reddy

We consider a model for the evolution of an interface in a heterogeneous environment governed by a parabolic equation. The heterogeneity is introduced as obstacles exerting a localized dry friction. Our main result establishes the emergence…

Analysis of PDEs · Mathematics 2019-09-12 Luca Courte , Patrick Dondl , Ulisse Stefanelli

A robust $hp$-adaptive finite element framework is presented for the investigation of static cracks in materials characterized by complex, pointwise density variations. Within such heterogeneous media, the equilibrium equation governed by…

Numerical Analysis · Mathematics 2025-12-29 S. M. Mallikarjunaiah

In this paper, new unfitted mixed finite elements are presented for elliptic interface problems with jump coefficients. Our model is based on a fictitious domain formulation with distributed Lagrange multiplier. The relevance of our…

Numerical Analysis · Mathematics 2023-09-15 Najwa Alshehri , Daniele Boffi , Lucia Gastaldi

The propagation and roughening of a fluid-gas interface through a disordered medium in the case of capillary driven spontaneous imbibition is considered. The system is described by a conserved (model B) phase-field model, with the structure…

Disordered Systems and Neural Networks · Physics 2009-10-31 M. Dube , M. Rost , K. R. Elder , M. Alava , S. Majaniemi , T. Ala-Nissila

We establish a quantitative homogenization result for an interface moving through a field of sufficiently sparse but possibly impenetrable random obstacles. From a physical viewpoint, such problems arise e.g. in the context of the motion of…

Analysis of PDEs · Mathematics 2026-03-13 Julian Fischer , Jonas Ingmanns
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