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Stiffness matrix

Science formelle
Mathématiques
Mathématiques discrètes
Méthode des éléments finis

Publications associées (24)

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System and method for performing isogeometric analysis and finite element analysis using h-splines

Michaël Unser, Zsuzsanna Püspöki, Daniel Andreas Schmitter

A method for performing H-spline compatible isogeometric analysis (IGA) on a geometric object, the method being performed on a computer device having a memory, the method including the steps of creating an analysis suitable geometry (ASG) using H-splines f ...

2019

Reducing uncertainties in energy dissipation measurements in atomic force spectroscopy of molecular networks and cell-adhesion studies

Georg Fantner, Blake William Erickson, Soma Biswas, Samuel Mendes Leitão, Quentin Antoine Marie Theillaud

Atomic force microscope (AFM) based single molecule force spectroscopy (SMFS) is a valuable tool in biophysics to investigate the ligand-receptor interactions, cell adhesion and cell mechanics. However, the force spectroscopy data analysis needs to be done ...

Nature Research2018

An Analytical Model for Beam Flexure Modules Based on Timoshenko Beam Theory

Simon Nessim Henein, Mohammad Hussein Kahrobaiyan, Mohamed Gamal Abdelrahman Ahmed Zanaty

Short beams are the key building blocks in many compliant mechanisms. Hence, deriving a simple yet accurate model of their elastokinematics is an important issue. Since the Euler-Bernoulli beam theory fails to accurately model these beams, we use the Timos ...

2017

A new formulation for imposing Dirichlet boundary conditions on non-matching meshes

Jean-François Molinari, Alejandro Marcos Aragon, Aurelia Isabel Cuba Ramos

Generating matching meshes for problems with complex boundaries is often an intricate process, and the use of non-matching meshes appears as an appealing solution. Yet, enforcing boundary conditions on non-matching meshes is not a straightforward process, ...

Wiley-Blackwell2015

Printing low-voltage dielectric elastomer actuators

Herbert Shea, Samuel Rosset, Alexandre Poulin

We demonstrate the fabrication of fully printed thin dielectric elastomer actuators (DEAs), reducing the operation voltage below 300V while keeping good actuation strain. DEAs are soft actuators capable of strains greater than 100% and response times below ...

AIP American Institute of Physics2015

Magneto-mechanical actuation of ferromagnetic shape memory alloy/epoxy composites

Véronique Michaud, Susanne Glock, Luis Pablo Canal Casado

Ferromagnetic shape memory alloys (MSMA) exhibit magnetic field- and stress-induced twinning when processed into single crystals, but are brittle and difficult to shape. Embedding slender single crystalline MSMA elements into a polymer matrix can thus prov ...

2015

Mathematical modelling of active contraction in isolated cardiomyocytes

Alfio Quarteroni, Ricardo Esteban Ruiz Baier, Simone Rossi, Aymen Laadhari

We investigate the interaction of intracellular calcium spatio-temporal variations with the self-sustained contractions in cardiac myocytes. A consistent mathematical model is presented considering a hyperelastic description of the passive mechanical prope ...

Oxford University Press2014

Finite volume element approximation of an inhomogeneous Brusselator model with cross-diffusion

Ricardo Esteban Ruiz Baier

This paper is concerned with the study of pattern formation for an inhomogeneous Brusselator model with cross-diffusion, modeling an autocatalytic chemical reaction taking place in a three-dimensional domain. For the spatial discretization of the problem w ...

Elsevier2014

Convergence of quasi-optimal Stochastic Galerkin methods for a class of PDES with random coefficients

Fabio Nobile, Lorenzo Tamellini

In this work we consider quasi-optimal versions of the Stochastic Galerkin method for solving linear elliptic PDEs with stochastic coefficients. In particular, we consider the case of a finite number

N

of random inputs and an analytic dependence of the s ...

2014

An active strain electromechanical model for cardiac tissue

Alfio Quarteroni, Fabio Nobile, Ricardo Esteban Ruiz Baier

We propose a finite element approximation of a system of partial differential equations describing the coupling between the propagation of electrical potential and large deformations of the cardiac tissue. The underlying mathematical model is based on the ...

Wiley2012

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