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We study experimentally the fracture mechanisms of a model cohesive granular medium consisting of glass beads held together by solidified polymer bridges. The elastic response of this material can be controlled by changing the cross-linking…

Soft Condensed Matter · Physics 2018-05-29 Alexander Schmeink , Lucas Goehring , Arnaud Hemmerle

Thin-walled structures clamped by friction joints, such as aircraft skin panels are exposed to bending-stretching coupling and frictional contact. We propose an original sub-structuring approach, where the system is divided into thin-walled…

Systems and Control · Electrical Eng. & Systems 2025-02-28 Patrick Hippold , Johann Gross , Malte Krack

We present a barrier method for treating frictional contact on interfaces embedded in finite elements. The barrier treatment has several attractive features, including: (i) it does not introduce any additional degrees of freedom or…

Numerical Analysis · Mathematics 2022-06-17 Yidong Zhao , Jinhyun Choo , Yupeng Jiang , Minchen Li , Chenfanfu Jiang , Kenichi Soga

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

An extension to the interface finite element with eMbedded Profile for Joint Roughness (MPJR interface finite element) is herein proposed for solving the frictional contact problem between a rigid indenter of any complex shape and an…

Soft Condensed Matter · Physics 2025-04-03 Jacopo Bonari , Marco Paggi , José Reinoso

A three-dimensional multi-scale computational homogenisation framework is developed for the prediction of nonlinear micro/meso-mechanical response of the fibre-reinforced polymer (FRP) composites. Two dominant damage mechanisms, i.e. matrix…

Computational Engineering, Finance, and Science · Computer Science 2016-10-18 Zahur Ullah , Lukasz Kaczmarczyk , Chris J. Pearce

We study the mechanical contact between a deformable body with a wavy surface and a rigid flat taking into account pressurized fluid trapped in the interface. A finite element model is formulated for a general problem of trapped fluid for…

Fluid Dynamics · Physics 2021-03-23 Andrei G. Shvarts , Vladislav A. Yastrebov

The fundamental problem of friction in the presence of macroscopic adhesion, as in soft bodies, is receiving interest from many experimentalists. Since the first fracture mechanics `purely brittle' model of Savkoor and Briggs, models have…

Soft Condensed Matter · Physics 2018-11-14 A. Papangelo , M. Ciavarella

Flexible barriers are increasingly used for the protection from debris flow in mountainous terrain due to their low cost and environmental impact. However, a numerical tool for rational design of such structures is still missing. In this…

Soft Condensed Matter · Physics 2020-07-20 Alessandro Leonardi , Falk K. Wittel , Miller Mendoza , Roman Vetter , Hans J. Herrmann

We present a 3D hybrid method which combines the Finite Element Method (FEM) and the Spectral Boundary Integral method (SBIM) to model nonlinear problems in unbounded domains. The flexibility of FEM is used to model the complex,…

Numerical Analysis · Mathematics 2021-02-18 Gabriele Albertini , Ahmed Elbanna , David S. Kammer

This paper introduces for the first time the concepts of non-coherent interfaces and microstructure-driven interface forces in the framework of micromorphic elasticity. It is shown that such concepts are of paramount importance when…

Classical Physics · Physics 2024-01-30 L. A. Perez Ramirez , F. Erel-Demore , G. Rizzi , J. Voss , A. Madeo

We propose the Compact Coupling Interface Method (CCIM), a finite difference method capable of obtaining second-order accurate approximations of not only solution values but their gradients, for elliptic complex interface problems with…

Numerical Analysis · Mathematics 2024-06-21 Ray Zirui Zhang , Li-Tien Cheng

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…

Computational Physics · Physics 2010-03-02 Ali R. Hadjesfandiari , Gary F. Dargush

The effective mixing behavior of solutes in porous media is fundamentally connected to the development of a local mixing interface between the two initial solutions, which is characterized by a complex lamellar structure. The deformation of…

Fluid Dynamics · Physics 2025-02-28 Daniel M C Hallack , Guillem Sole-Mari , Saif Farhat , Diogo Bolster

Cementless implants have become widely used for total hip replacement surgery. The long-term stability of these implants is achieved by bone growing around and into the porous surface of the implant, a process called osseointegration.…

Medical Physics · Physics 2022-11-01 Katharina Immel , Vu-Hieu Nguyen , Guillaume Haiat , Roger A. Sauer

The interface behaviour between steel and concrete, during pull-out tests, is numerically investigated using an interface model coupling adhesion and Coulomb friction. This model, first developed by Raous, Cang\'emi, Cocou and Monerie…

Classical Physics · Physics 2010-03-25 Michel Raous , M'hamed Ali Karray

Various fields such as mechanical engineering, materials science, etc., have seen a widespread use of linear elastic fracture mechanics (LEFM) at the continuum scale. LEFM is also routinely applied to the atomic scale. However, its…

Materials Science · Physics 2022-08-25 Tarakeshwar Lakshmipathy , Paul Steinmann , Erik Bitzek

The eXtended Finite Element Method (XFEM) is used to solve interface problems with an unfitted mesh. We present an implementation of the XFEM in the FEM-library deal.II. The main parts of the implementation are (i) the appropriate…

Numerical Analysis · Mathematics 2015-07-16 Thomas Carraro , Sven Wetterauer

Simulation of frictional contact and shear failure of fractures in fractured media is of paramount important in computational mechanics. In this work, a preconditioned mixed-finite element (FE) scheme with Lagrange multipliers is proposed…

Numerical Analysis · Mathematics 2021-10-29 Luyu Wang , Cornelis Vuik , Hadi Hajibeygi

We study some numerical methods for solving second order elliptic problem with interface. We introduce an immersed interface finite element method based on the `broken' $P_1$-nonconforming piecewise linear polynomials on interface…

Numerical Analysis · Mathematics 2009-11-26 Do Y. Kwak , K. T. Wee