Search Results - "Lurie, Sergey"

Trefftz collocation method for two‐dimensional strain gradient elasticity by Solyaev, Yury O., Lurie, Sergey A.

“…Indirect Trefftz method is proposed for solving two‐dimensional boundary value problems of the strain gradient elasticity theory (SGET). A system of trial…”
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On the well posedness of static boundary value problem within the linear dilatational strain gradient elasticity by Eremeyev, Victor A., Lurie, Sergey A., Solyaev, Yury O., dell’Isola, Francesco

“…In this paper, it is proven an existence and uniqueness theorem for weak solutions of the equilibrium problem for linear isotropic dilatational strain gradient…”
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Dilatation gradient elasticity theory by Lurie, Sergey A., Kalamkarov, Alexander L., Solyaev, Yury O., Volkov, Alexander V.

“…A simplified version of the strain gradient elasticity theory, in which all gradient effects are related to the first scalar invariant of the infinitesimal…”
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Conductive Heat Transfer in Materials under Intense Heat Flows by Fedotenkov, Gregory, Rabinskiy, Lev, Lurie, Sergey

“…The paper presents the solution of the spatial transient problem of the impact of a moving heat flux source induced by the laser radiation on the surface of a…”
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To the Problem of Discontinuous Solutions in Applied Mathematics by Vasiliev, Valery V., Lurie, Sergey A.

“…This paper addresses discontinuities in the solutions of mathematical physics that describe actual processes and are not observed in experiments. The…”
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Symmetry conditions in strain gradient elasticity by Gusev, Andrei A, Lurie, Sergey A

“…We study the variational significance of the “order-of-differentiation” symmetry condition of strain gradient elasticity. This symmetry condition stems from…”
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Continuum micro-dilatation modeling of auxetic metamaterials by Lurie, Sergey A., Kalamkarov, Alexander L., Solyaev, Yury O., Ustenko, Anastasia D., Volkov, Alexander V.

“…Metamaterials with re-entrant type lattice structure with cubic symmetry are studied. The main new result is that the continuum theory of porous media…”
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Analytical Solution of Stationary Coupled Thermoelasticity Problem for Inhomogeneous Structures by Lurie, Sergey A., Volkov-Bogorodskii, Dmitrii B., Belov, Petr A.

“…A mathematical statement for the coupled stationary thermoelasticity is given on the basis of a variational approach and the contact boundary problem is…”
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Loss Amplification Effect in Multiphase Materials with Viscoelastic Interfaces by Gusev, Andrei A, Lurie, Sergey A

“…A combination of numerical and modeling approaches is employed to study the effective energy dissipation properties of solid polymer matrixes filled with…”
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Strain-Gradient Elasticity for Bridging Continuum and Atomistic Estimates of Stiffness of Binary Lennard-Jones Crystals by Gusev, Andrei A., Lurie, Sergey A.

“…Lagrangian variational approach is employed to derive the equations of equilibrium of strain‐gradient elasticity. For a periodic lamellar‐morphology…”
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General theory of continuous media with conserved dislocations by Lurie, Sergey A., Kalamkarov, Alexander L.

“…A comprehensive rigorous continuous media model with conserved dislocations is developed in the present paper on the basis of the variational kinematic…”
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A New Approach to Non-Singular Plane Cracks Theory in Gradient Elasticity by Lurie, Sergey A., Volkov-Bogorodsky, Dmitriy B., Vasiliev, Valery V.

“…A non-local solution is obtained here in the theory of cracks, which depends on the scale parameter in the non-local theory of elasticity. The gradient…”
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Gradient models of moving heat sources for powder bed fusion applications by Solyaev, Yury, Lurie, Sergey

“…•Gradient heat transfer theory with the fourth order governing equation.•Simplified constitutive assumptions with single length scale…”
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On Determination of Wave Velocities through the Eigenvalues of Material Objects by Nikabadze, Lurie, Matevossian, Ulukhanyan

“…The statement of the eigenvalue problem for a tensor–block matrix of any order and of anyeven rank is formulated. It is known that the eigenvalues of the…”
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Anti-plane inclusion problem in the second gradient electroelasticity theory by Lurie, Sergey, Solyaev, Yury

“…In this paper, we compare direct and energy based homogenization schemes in the framework of the second gradient electroelasticity theory. We consider a…”
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Variant of strain gradient elasticity with simplified formulation of traction boundary value problems by Lurie, Sergey, Solyaev, Yury

“…In this paper, we show that within the class of isotropic Mindlin‐Toupin gradient theories there exist a particular variant of the theory, which allows a…”
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On the formulation of elastic and electroelastic gradient beam theories by Lurie, Sergey, Solyaev, Yury

“…Variational approach for the formulation of gradient beam-type models is discussed. The second gradient elasticity and electroelasticity theories are…”
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Pure bending of a piezoelectric layer in second gradient electroelasticity theory by Solyaev, Yury, Lurie, Sergey

“…The semi-inverse analytical solution of a pure bending problem for a piezoelectric layer is developed in the framework of linear electroelasticity theory with…”
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New approach to failure of pre-cracked brittle materials based on regularized solutions of strain gradient elasticity by Vasiliev, Valeriy, Lurie, Sergey, Solyaev, Yury

“…In this paper, we use the feature of the strain gradient elasticity theory (SGET) related to the regularization of classical singularity problems. We suggest…”
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General theory of defects in continuous media by Lurie, Sergey A., Kalamkarov, Alexander L.

“…A new general theory of defects in continuous media is introduced. The general mechanisms of generation and healing of defects are established. The kinematic…”
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