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Usage, manipulation, transport, delivery, and mixing of granular or particulate media, comprised of spherical or polyhedral particles, is commonly encountered in industrial sectors of construction (cement and rock fragments), pharmaceutics…

Computational Engineering, Finance, and Science · Computer Science 2021-02-25 Prashant K. Jha , Prathamesh S. Desai , Debdeep Bhattacharya , Robert Lipton

Shells, when confined, can deform in a broad assortment of shapes and patterns, often quite dissimilar to what is produced by their flat counterparts (plates). In this work we discuss the morphological landscape of shells deposited on a…

Soft Condensed Matter · Physics 2018-06-12 Octavio Albarrán , Desislava V. Todorova , Eleni Katifori , Lucas Goehring

Nowadays integration of mass matrix components in the element domain is performed using various numerical integration schemes, each one possess different level of accuracy, alters in number of integration (Gauss) points and requires…

Numerical Analysis · Mathematics 2014-10-14 Eli Hanukah

A statistical multi-step self-consistent (SMSSC) micromechanical model for predicting elastic and plastic properties of a three-dimensional Representative Volume Element (RVE) is proposed in this research. A body with randomly distributed…

Materials Science · Physics 2022-11-17 Kamal Shaker , Hamed Khezrzadeh

When a crack interacts with material heterogeneities, its front distorts and adopts complex tortuous configurations that are reminiscent of the energy barriers encountered during crack propagation. As such, the study of crack front…

Materials Science · Physics 2023-01-03 Mathias Lebihain , Thibault Roch , Jean-François Molinari

We develop a stabilized cut finite element method for the stationary convection diffusion problem on a surface embedded in ${\mathbb{R}}^d$. The cut finite element method is based on using an embedding of the surface into a three…

Numerical Analysis · Mathematics 2018-07-24 Erik Burman , Peter Hansbo , Mats G. Larson , Andre Massing , Sara Zahedi

The effects of shear on energy release rate and mode mixity in a symmetric sandwich beam with isotropic layers and a debond crack at the face sheet/core interface are investigated through a semi-analytic approach based on two-dimensional…

Soft Condensed Matter · Physics 2018-03-01 Luca Barbieri , Roberta Massabo , Christian Berggreen

Fracture growth in a material is strongly influenced by the presence of inhomogeneities, which deviate crack trajectories from rectilinearity and deeply affect failure. Increasing crack tortuosity is connected to enhancement of fracture…

Materials Science · Physics 2022-07-20 Riccardo Cavuoto , Pietro Lenarda , Diego Misseroni , Marco Paggi , Davide Bigoni

We present a simple example of toughening mechanism in the homogenization of composites with soft inclusions, produced by crack deflection at microscopic level. We show that the mechanism is connected to the irreversibility of the crack…

Analysis of PDEs · Mathematics 2017-10-25 Marco Barchiesi

A continuum model of crack propagation is presented and discussed. We obtain steady state solutions with a self-consistently selected propagation velocity and shape of the crack, provided that elastodynamic and viscoelastic effects are…

Materials Science · Physics 2020-02-26 M. Fleck , D. Pilipenko , R. Spatschek , E. A. Brener

Exotic behaviour of mechanical metamaterials often relies on an internal transformation of the underlying microstructure triggered by its local instabilities, rearrangements, and rotations. Depending on the presence and magnitude of such a…

Soft Condensed Matter · Physics 2020-04-16 Ondřej Rokoš , Jan Zeman , Martin Doškář , Petr Krysl

Despite extensive theoretical treatment of short- to long-crack transitions, direct experimental quantification of how elastic and plastic energy contributions evolve at the crack tip during arrest has remained absent. In this study, we…

Materials Science · Physics 2026-04-29 Abdalrhaman Koko , Bemin Sheen , Caitlin Green , Fionn Dunne

A geometrically nonlinear finite element model is developed for the bending analysis of micropolar Timoshenko beams using the principle of virtual displacements and linear Lagrange interpolation functions. The nonlinearity enters the model…

Classical Physics · Physics 2019-02-28 Praneeth Nampally , Anssi T. Karttunen , JN Reddy

Continuum robots offer high flexibility and multiple degrees of freedom, making them ideal for navigating narrow lumens. However, accurately modeling their behavior under large deformations and frequent environmental contacts remains…

Robotics · Computer Science 2025-03-11 Hao Chen , Jian Chen , Xinran Liu , Zihui Zhang , Yuanrui Huang , Zhongkai Zhang , Hongbin Liu

Cracks, the major vehicle for material failure, tend to accelerate to high velocities in brittle materials. In three-dimensions, cracks generically undergo a micro-branching instability at about 40% of their sonic limiting velocity. Recent…

Soft Condensed Matter · Physics 2017-12-06 Chih-Hung Chen , Eran Bouchbinder , Alain Karma

The rigorous convergence analysis of adaptive finite element methods for regularized variational models of quasi-static brittle fracture in strain-limiting elastic solids is presented. This work introduces two novel adaptive mesh refinement…

Numerical Analysis · Mathematics 2025-11-19 Ram Manohar , S. M. Mallikarjunaiah

The application of pure torsion to a long and thin cylindrical rod is known to provoke a twisting instability, evolving from an initial kink to a knot. In the torsional parallel-plate rheometry of stubby cylinders, the geometrical…

Soft Condensed Matter · Physics 2020-09-22 Pasquale Ciarletta , Michel Destrade

Computational solid mechanics has become an indispensable approach in engineering, and numerical investigation of fracture in composites is essential as composites are widely used in structural applications. Crack evolution in composites is…

Materials Science · Physics 2023-09-26 Hao Xu , Wei Fan , Ambrose C. Taylor , Dongxiao Zhang , Lecheng Ruan , Rundong Shi

We propose a new unfitted finite element method for simulation of two-phase flows in presence of insoluble surfactant. The key features of the method are 1) discrete conservation of surfactant mass; 2) the possibility of having meshes that…

Numerical Analysis · Mathematics 2022-11-30 Thomas Frachon , Sara Zahedi

Direct numerical simulations of turbulent channels with rough walls are conducted in the transitionally rough regime. The effect that roughness produces on the overlying turbulence is studied using a modified triple decomposition of the…

Fluid Dynamics · Physics 2020-07-21 Nabil Abderrahaman-Elena , Chris T. Fairhall , Ricardo García-Mayoral