MULTISYMPLECTIC VARIATIONAL INTEGRATORS FOR NONSMOOTH LAGRANGIAN CONTINUUM MECHANICS
Forum of Mathematics, Sigma, 2016 This paper develops the theory of multisymplectic variational integrators for nonsmooth continuum mechanics with constraints. Typical problems are the impact of an elastic body on a rigid plate or the collision of two elastic bodies.
FRANÇOIS DEMOURES +2 more
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Fracture with healing: A first step towards a new view of cavitation
Analysis & PDE, 2019 Recent experimental evidence on rubber has revealed that the internal cracks that arise out of the process often referred to as cavitation can actually heal.
G. Francfort +2 more
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Null Controllability of the Structurally Damped Wave Equation on the Two-Dimensional Torus
SIAM Journal of Control and Optimization, 2019 We investigate the null controllability of the wave equation with a Kelvin-Voigt damping on the two-dimensional torus T 2. We consider a distributed control supported in a moving domain ω(t) with a uniform motion at a constant velocity c = (1, ζ).
P. Guzmán, L. Rosier
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Non-linear biphasic mixture model: Existence and uniqueness results
European Journal of Applied MathematicsThis paper is concerned with the development and analysis of a mathematical model that is motivated by interstitial hydrodynamics and tissue deformation mechanics (poro-elasto-hydrodynamics) within an in-vitro solid tumour.
Meraj Alam +2 more
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Dynamics for wave equations connected in parallel with nonlinear localized damping
Advances in Nonlinear AnalysisThis study investigates the properties of solutions about one-dimensional wave equations connected in parallel under the effect of two nonlinear localized frictional damping mechanisms.
Gao Yunlong, Sun Chunyou, Zhang Kaibin
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Effective data sampling strategies and boundary condition constraints of physics-informed neural networks for identifying material properties in solid mechanics. [PDF]
Appl Math Mech, 2023 Wu W +4 more
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On an Implicit Model Linear in Both Stress and Strain to Describe the Response of Porous Solids. [PDF]
J Elast, 2021 Itou H, Kovtunenko VA, Rajagopal KR.
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A Bayesian finite-element trained machine learning approach for predicting post-burn contraction. [PDF]
Neural Comput Appl, 2022 Egberts G +3 more
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Sensitivity of a two-dimensional biomorphoelastic model for post-burn contraction. [PDF]
Biomech Model Mechanobiol, 2023 Egberts G +3 more
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Stability of a two-dimensional biomorphoelastic model for post-burn contraction. [PDF]
J Math Biol, 2023 Egberts G, Vermolen F, van Zuijlen P.
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