Results 1 to 10 of about 122,074 (252)
On a classical spectral optimization problem in linear elasticity [PDF]
, 2014 We consider a classical shape optimization problem for the eigenvalues of elliptic operators with homogeneous boundary conditions on domains in the $N$-dimensional Euclidean space.
B Kawohl +18 more
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Coupling Approaches for Classical Linear Elasticity and Bond-Based Peridynamic Models
Journal of Peridynamics and Nonlocal Modeling, 2022 Local-nonlocal coupling approaches provide a means to combine the computational efficiency of local models and the accuracy of nonlocal models. This paper studies the continuous and discrete formulations of three existing approaches for the coupling of classical linear elasticity and bond-based peridynamic models, namely 1) a method that enforces ...
Patrick Diehl, Serge Prudhomme
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Nonlocal Elasticity Effect on Linear Vibration of Nano-circular Plate Using Adomian Decomposition Method [PDF]
Journal of Applied and Computational Mechanics, 2020 In this study, the small scale effect on the linear free-field vibration of a nano-circular plate has been investigated using nonlocal elasticity theory.
Mohammad Shishesaz +2 more
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Analytic solutions for free vibration analysis of laminated beams in three-dimensional statement [PDF]
EPJ Web of Conferences, 2019 In this research we consider free vibrations of laminated beams in terms of three-dimensional linear theory of elasticity. Analytic solutions for natural frequencies of laminated beams are obtained by using an asymptotic splitting method.
Golushko Sergey +2 more
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Gradient elasticity solutions of 2D nano-beams
Applications in Engineering Science, 2023 In this study, the exact analytical solutions of a two-dimensional linear homogeneous isotropic nano-beam in gradient elasticity are studied. Four different types of two-dimensional cantilever beams and related boundary conditions are considered.
Teoman Özer
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Numerical simulations of classical problems in two-dimensional (non) linear second gradient elasticity [PDF]
International Journal of Engineering Science, 2016 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ugo Andreaus +5 more
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Journal of the Belarusian State University. Mathematics and Informatics, 2022 In this article, we study the classical solution of the mixed problem in a quarter of a plane for a one-dimensional wave equation. This mixed problem models the propagation of displacement waves during a longitudinal impact on a bar, when the load remains in contact with the bar and the bar has a linear elastic element at the end. On the lower boundary,
Korzyuk, V.I., Rudzko, J.V.
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Thermal deformation of a long elastic strip
RUDN Journal of Engineering Research, 2021 A general method is proposed for the formulation and solution of temperature problems of the theory of elasticity for thin-walled bodies for a given temperature distribution with the preservation of the order of differential equations and the fulfilment ...
Evgeny M. Zveryaev
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A higher order control volume based finite element method to prodict the deformation of heterogeneous materials [PDF]
, 2013 Materials with obvious internal structure can exhibit behaviour, under loading, that cannot be described by classical elasticity. It is therefore important to develop computational tools incorporating appropriate constitutive theories that can capture ...
A.J. Beveridge +27 more
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Frattura ed Integrità Strutturale, 2023 This is the first part of a short three-paper series, aiming to revisit some classical concepts of Linear Elastic Fracture Mechanics. The motive of this first paper is to highlight some controversial issues, related to the unnatural overlapping of the lips of a ‘mathematical’ crack in an infinite plate loaded by specific combinations of ...
Markides, Christos +1 more
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