Results 1 to 10 of about 417,522 (214)
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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Multiscale finite element coarse spaces for the application to linear elasticity [PDF]
Open Mathematics, 2013 Buck Marco, Iliev Oleg, Andrä Heiko
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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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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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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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Representation of Waves of Displacements and Micro-rotations by Systems of the Screw Vector Fields [PDF]
Известия Саратовского университета. Новая серия: Математика. Механика. Информатика, 2020 The present study concerns the coupled vector differential equations of the linear theory of micropolar elasticity formulated in terms of displacements and micro-rotations in the case of a harmonic dependence of the physical fields on time. The system is
Radaev, Yurii Nickolaevich
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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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