On Stability of Hyperbolic Thermoelastic Reissner-Mindlin-Timoshenko Plates
, 2013 In the present article, we consider a thermoelastic plate of Reissner-Mindlin-Timoshenko type with the hyperbolic heat conduction arising from Cattaneo's law. In the absense of any additional mechanical dissipations, the system is often not even strongly
Pokojovy, Michael
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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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Existence of solitons in the nonlinear beam equation
, 2011 This paper concerns with the existence of solitons, namely stable solitary waves in the nonlinear beam equation (NBE) with a suitable nonlinearity. An equation of this type has been introduced by P.J. McKenna and W.
Benci, Vieri, Fortunato, Donato
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Sharp interface limit for a phase field model in structural optimization
, 2016 We formulate a general shape and topology optimization problem in structural optimization by using a phase field approach. This problem is considered in view of well-posedness and we derive optimality conditions.
Christoph Rupprecht +7 more
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Local Well-Posedness for Relaxational Fluid Vesicle Dynamics
, 2018 We prove the local well-posedness of a basic model for relaxational fluid vesicle dynamics by a contraction mapping argument.
Köhne, Matthias, Lengeler, Daniel
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Periodic solutions and torsional instability in a nonlinear nonlocal plate equation
, 2018 A thin and narrow rectangular plate having the two short edges hinged and the two long edges free is considered. A nonlinear nonlocal evolution equation describing the deformation of the plate is introduced: well-posedness and existence of periodic ...
Bonheure, Denis +2 more
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, 2018 We demonstrate the global existence of weak solutions to a class of semilinear strongly damped wave equations possessing nonlinear hyperbolic dynamic boundary conditions.
Shomberg, Joseph L.
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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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