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The mechanical properties of human soft tissue are crucial for impact biomechanics, rehabilitation engineering and surgical simulation. Validation of these constitutive models using human data remains challenging and often requires the use…

Medical Physics · Physics 2016-04-25 Kevin M. Moerman , Cathy A. Holt , Sam L. Evans , Ciaran K. Simms

Modular Active Cell Robots (MACROs) is a design approach in which a large number of linear actuators and passive compliant joints are assembled to create an active structure with a repeating unit cell. Such a mesh-like robotic structure can…

Robotics · Computer Science 2022-03-15 Gaurav Singh , Ahsan Nawroj , Aaron M Dollar

Microelectromechanical systems (MEMS) gyroscopes are widely used in consumer and automotive applications. They have to fulfill a vast number of product requirements which lead to complex mechanical designs of the resonating structure.…

Computational Engineering, Finance, and Science · Computer Science 2025-12-29 Daniel Schiwietz , Marian Hörsting , Eva Maria Weig , Peter Degenfeld-Schonburg , Matthias Wenzel

With the development of multi-layer elastic systems in the field of engineering mechanics, the corresponding variational inequality theory and algorithm design have received more attention and research. In this study, a class of equivalent…

Numerical Analysis · Mathematics 2024-09-11 Zhizhuo Zhang , Mikaël Barboteu , Xiaobing Nie , Serge Dumont , Mahmoud Abdel-Aty , Jinde Cao

One of the major issues in the computational mechanics is to take into account the geometrical complexity. To overcome this difficulty and to avoid the expensive mesh generation, geometrically unfitted methods, i.e. the numerical methods…

Numerical Analysis · Mathematics 2021-10-12 Stephane Cotin , Michel Duprez , Vanessa Lleras , Alexei Lozinski , Killian Vuillemot

In this paper we present a method to accurately compute the energy of the magnetostatic interaction between linearly (or uniformly, as a special case) magnetized polyhedrons. The method has applications in finite element micromagnetics, or…

Computational Physics · Physics 2016-07-14 Dmitri Chernyshenko , Hans Fangohr

This study is focused on the mechanical characterization of materials used in microelectronic and micro- electromechanical systems (MEMS) devices. In order to determine their mechanical parameters, a new deformation bench test with suitable…

Other Computer Science · Computer Science 2008-12-18 C. Seguineau , M. Ignat , C. Malhaire , S. Brida , X. Lafontan , J. -M. Desmarres , C. Josserond , L. Debove

When the deformations of a solid body are sufficiently large, parts of the body undergo a permanent deformation commonly refereed to as plastic deformation. Several plasticity models describing such phenomenon have been proposed, e.g. von…

Numerical Analysis · Mathematics 2022-04-26 Filip Strniša , Mitja Jančič , Gregor Kosec

The goal of this work is to follow the displacement and possible deformation of a free particle in a fluid flow in 2D axi-symmetry, 2D or 3D using the classical finite elements method without the usual drawbacks finite elements bring for…

Computational Physics · Physics 2012-03-16 Baptiste Moreau , Philippe Dantan , Patrice Flaud , Benjamin Mauroy

Accurately depicting multiphysics interactions in interfacial systems requires computational frameworks capable of reconciling geometric adaptability with strict conservation fidelity. However, traditional spatiotemporal discretisation…

Computational Engineering, Finance, and Science · Computer Science 2025-11-18 Suhaib Ardah , Francisco J. Profito , Daniele Dini

We design a finite element method (FEM) for a membrane model of liquid crystal polymer networks (LCNs). This model consists of a minimization problem of a non-convex stretching energy. We discuss properties of this energy functional such as…

Numerical Analysis · Mathematics 2023-07-26 Lucas Bouck , Ricardo H. Nochetto , Shuo Yang

The evolution problem for a membrane based model of an electrostatically actuated microelectromechanical system (MEMS) is studied. The model describes the dynamics of the membrane displacement and the electric potential. The latter is a…

Analysis of PDEs · Mathematics 2012-11-27 Joachim Escher , Philippe Laurencot , Christoph Walker

We propose a reduced space mixed finite element method (MFEM) built on a Skinning Eigenmode subspace and material-aware cubature scheme. Our solver is well-suited for simulating scenes with large material and geometric heterogeneities in…

Graphics · Computer Science 2024-05-24 Ty Trusty , Otman Benchekroun , Eitan Grinspun , Danny M. Kaufman , David I. W. Levin

We present a new framework for expressing finite element methods on multiple intersecting meshes: multimesh finite element methods. The framework enables the use of separate meshes to discretize parts of a computational domain that are…

Numerical Analysis · Mathematics 2018-08-28 August Johansson , Benjamin Kehlet , Mats G. Larson , Anders Logg

This paper describes the use of the corotational cut Finite Element Method (FEM) for real-time surgical simulation. Users only need to provide a background mesh which is not necessarily conforming to the boundaries/interfaces of the…

Computational Engineering, Finance, and Science · Computer Science 2018-11-20 Huu Phuoc Bui , Satyendra Tomar , Stéphane P. A. Bordas

Magneto-active elastomers (MAEs) are composite materials comprising an elastomer matrix with embedded magnetic particles, endowing the composite with coupled effective magneto-mechanical responses. It is widely reported that anisotropic…

Materials Science · Physics 2025-04-17 Connor D. Pierce , Kathryn H. Matlack

Composite multiferroics, heterostructures of ferromagnetic (FM) and ferroelectric (FE) materials, are characterized by a remarkable magnetoelectric effect at the interface. Previous work has supported the ferromagnetic structure with…

Mesoscale and Nanoscale Physics · Physics 2016-04-01 Zidong Wang , Malcolm J. Grimson

A free boundary problem modeling a microelectromechanical system (MEMS) consisting of a fixed ground plate and a deformable top plate is considered, the plates being held at different electrostatic potentials. It couples a second order…

Analysis of PDEs · Mathematics 2016-12-20 Philippe Laurençot , Christoph Walker

Deformation modeling of cardiac muscle is an important issue in the field of cardiac analysis. Many approaches have been developed to better estimate the cardiac muscle deformation, and to obtain a practical model to be used in diagnostic…

Computational Engineering, Finance, and Science · Computer Science 2015-12-01 Ahmadreza Baghaie , Hamid Abrishami Moghaddam

In this work, the Cosserat formulation of geometrically exact beam dynamics is extended by adding the electric potential as an additional degree of freedom to account for the electromechanical coupling in the Dielectric Elastomer Actuators…

Computational Engineering, Finance, and Science · Computer Science 2021-12-01 Dengpeng Huang , Sigrid Leyendecker
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