Results 31 to 40 of about 2,535 (228)

Elasto-Dynamics of Quasicrystals

open access: yesCrystals, 2016
A review on elasto-dynamics of quasicrystals (QCs) and their applications based on mathematical elasticity is given. In this study, recent studies on elasto-dynamics of QCs are reviewed, in which the focus of the problem lies in the role of phason ...
Wu Li, Tianyou Fan
doaj   +1 more source

Analytical Integration for Logarithmic Spatial Singularities in the Time Domain Boundary Element Method

open access: yesMathematical and Computational Applications
The treatment of logarithmic spatial singular integrals is a key challenge affecting the reliability of results when the time domain boundary element method (TD-BEM) is used to solve elastodynamic problems. To address this problem, this paper derives and
Feng Zhao   +4 more
doaj   +1 more source

Functional Parametric Elasto-Dynamics for Efficient Multicomponent Design

open access: yesComputation, 2022
In industrial settings, engineering products are often divided into separate components for detailed conception. They often require iterative corrections between different designers/teams to optimize the final product with all components assembled into a
Jiajun Wu   +4 more
doaj   +1 more source

HDG methods for elastodynamics

open access: yesComputers & Mathematics with Applications, 2017
We derive and analyze a hybridizable discontinuous Galerkin (HDG) method for approximating weak solutions to the equations of time-harmonic linear elasticity on a bounded Lipschitz domain in three dimensions. The real symmetry of the stress tensor is strongly enforced and its coefficients as well as those of the displacement vector field are ...
Allan Hungria   +2 more
openaire   +3 more sources

Exponential Stability of Higher Order Fractional Neutral Stochastic Differential Equation Via Integral Contractors

open access: yesMathematical Methods in the Applied Sciences, Volume 48, Issue 6, Page 6425-6446, April 2025.
ABSTRACT The well‐posedness results for mild solutions to the fractional neutral stochastic differential system with Rosenblatt process with Hurst index Ĥ∈12,1$$ \hat{H}\in \left(\frac{1}{2},1\right) $$ is discussed in this article. To demonstrate the results, the concept of bounded integral contractors is combined with the stochastic result and ...
Dimplekumar N. Chalishajar   +3 more
wiley   +1 more source

Ignaczak equation of elastodynamics

open access: yes, 2018
The development of linear elastodynamics in pure stress-based formulation began over half-a-century ago as an alternative to the classical displacement-based treatment that came into existence two centuries ago in the school of mathematical physics in ...
Martin Ostoja-Starzewski
core   +1 more source

Peri-Elastodynamic Simulations of Guided Ultrasonic Waves in Plate-Like Structure with Surface Mounted PZT

open access: yesSensors, 2018
Peridynamic based elastodynamic computation tool named Peri-elastodynamics is proposed herein to simulate the three-dimensional (3D) Lamb wave modes in materials for the first time.
Subir Patra   +2 more
doaj   +1 more source

Progressively Projected Newton's Method

open access: yesComputer Graphics Forum, EarlyView.
Abstract Newton's Method is widely used to find the solution of complex non‐linear simulation problems. To guarantee a descent direction, it is common practice to clamp the negative eigenvalues of each element Hessian prior to assembly—a strategy known as Projected Newton (PN)—but this perturbation often hinders convergence.
J. A. Fernández‐Fernández   +2 more
wiley   +1 more source

Space-Time Isogeometric Analysis for linear and non-linear elastodynamics

open access: yes, 2021
International audienceIn this study we investigate a stabilized space-time formulation for linear and non-linear elastodynamics. We use Isogeometric Analysis (IGA) in order to benefit from its numerical qualities.
Lejeunes, S.   +3 more
core   +1 more source

Elucidating the cellular determinants of the end‐systolic pressure‐volume relationship of the heart via computational modelling

open access: yesThe Journal of Physiology, EarlyView.
Abstract figure legend Using a multiscale computational model of left ventricular electromechanics, we investigated how sarcomere dynamics influence the end‐systolic pressure‐volume (ESPV) relationship in ejecting beats compared to isovolumetric beats.
Francesco Regazzoni   +2 more
wiley   +1 more source

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