Results 1 to 10 of about 3,194,424 (284)
On plane Λ-fractional linear elasticity theory
Theoretical and Applied Mechanics Letters, 2020 : Non-local plane elasticity problems are discussed in the context of Λ-fractional linear elasticity theory. Adapting the Λ-fractional derivative along with the Λ-fractional space, where geometry and mechanics are valid in the conventional way, non-local
K.A. Lazopoulos, A.K. Lazopoulos
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On Near-cloaking for Linear Elasticity [PDF]
Multiscale Modeling & Simulation, 2021 We make precise some results on the cloaking of displacement fields in linear elasticity. In the spirit of transformation media theory, the transformed governing equations in Cosserat and Willis frameworks are shown to be equivalent to certain high contrast small defect problems for the usual Navier equations.
Craster, Richard +3 more
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Impedance Eigenvalues in Linear Elasticity [PDF]
SIAM Journal on Applied Mathematics, 2021 This arXiv version corrects a misprint in formula (SM1.1) in the Supplementary materials in the published version.
Michael Levitin +2 more
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Network element methods for linear elasticity
Comptes Rendus. Mécanique, 2023 We explain how to derive a network element for the linear elasticity problem. After presenting sufficient conditions on the network for the validity of a discrete Korn inequality, we also propose several variations of the presented method and in ...
Coatléven, Julien
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Radiation force of compressional plane waves on a sphere embedded in an elastic medium†
Forces in Mechanics, 2023 The aim of this work is to derive exact partial-wave series expressions for the radiation force of plane compressional progressive waves propagating inside an elastic medium and incident upon an embedded elastic sphere.
F.G. Mitri
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On damage tensor in linear anisotropic elasticity [PDF]
Theoretical and Applied Mechanics, 2017 In this paper, the anisotropic linear damage mechanics is presented starting from the principle of strain equivalence. The authors have previously derived damage tensor components in terms of elastic parameters of undamaged (virgin) material in closed ...
Jarić Jovo, Kuzmanović Dragoslav
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The elastic deformation process of bimetallic objects
International Journal of Mathematics for Industry, 2022 In industrial problems linear elasticity simulation has been known to be successfully solved by the Finite Element Methods (FEMs). However, a mathematical model as well as a numerical solution program that can be applied to the deformation simulation of ...
Thi Thanh Mai Ta, Phuong Cuc Hoang
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Numerical Solution of Bending of the Beam with Given Friction
Mathematics, 2021 We are interested in a contact problem for a thin fixed beam with an internal point obstacle with possible rotation and shift depending on a given swivel and sliding friction.
Michaela Bobková, Lukáš Pospíšil
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Fractional continua for linear elasticity
Archives of Mechanics, 2014 Fractional continua is a generalisation of the classical continuum body. This new concept shows the application of fractional calculus in continuum mechanics. The advantage is that the obtained description is non-local.
W. Sumelka, T. Blaszczyk
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Homogenization of Ancient Masonry Buildings: A Case Study
Applied Sciences, 2020 With the aim of evaluating local and global dynamic mechanisms of a vast and historical masonry building, a homogeneous structural model is proposed here.
Simona Di Nino, Daniele Zulli
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