Results 21 to 30 of about 122,074 (252)
Nonlocal theory of curved rods. 2-D, high order, Timoshenko’s and Euler-Bernoulli models
Curved and Layered Structures, 2017 New models for plane curved rods based on linear nonlocal theory of elasticity have been developed. The 2-D theory is developed from general 2-D equations of linear nonlocal elasticity using a special curvilinear system of coordinates related to the ...
Zozulya V.V.
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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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A mixed operator approach to peridynamics
Mathematics in Engineering, 2023 In the present paper we propose a model describing the nonlocal behavior of an elastic body using a peridynamical approach. Indeed, peridynamics is a suitable framework for problems where discontinuities appear naturally, such as fractures, dislocations,
Federico Cluni +4 more
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Open Physics, 2018 New additional conditions required for the uniqueness of the 2D elastostatic problems formulated in terms of potential functions for the derived Papkovich-Neuber representations, are studied.
Guerrero José Luis Morales +3 more
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Micropolar curved rods. 2-D, high order, Timoshenko’s and Euler-Bernoulli models
Curved and Layered Structures, 2017 New models for micropolar plane curved rods have been developed. 2-D theory is developed from general 2-D equations of linear micropolar elasticity using a special curvilinear system of coordinates related to the middle line of the rod and special ...
Zozulya V.V.
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On the decay of exponential type for the solutions in a dipolar elastic body
Journal of Taibah University for Science, 2020 Our study is concerned with a generalization of the principle of Saint-Venant in the context of the theory of elastic bodies with a dipolar structure.
Marin Marin +3 more
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Stress Response in Confined Arrays of Frictional and Frictionless Particles [PDF]
, 2011 Stress transmission inside three dimensional granular packings is investigated using computer simulations. Localized force perturbation techniques are implemented for frictionless and frictional shallow, ordered, granular arrays confined by solid ...
Cakir, Abdullah, Silbert, Leonardo E.
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An extension of assumed stress finite elements to a general hyperelastic framework
Advanced Modeling and Simulation in Engineering Sciences, 2019 Assumed stress finite elements are known for their extraordinary good performance in the framework of linear elasticity. In this contribution we propose a mixed variational formulation of the Hellinger–Reissner type for hyperelasticity.
Nils Viebahn +2 more
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Gradient Schemes for Linear and Non-linear Elasticity Equations
, 2014 The Gradient Scheme framework provides a unified analysis setting for many different families of numerical methods for diffusion equations. We show in this paper that the Gradient Scheme framework can be adapted to elasticity equations, and provides ...
Droniou, Jerome, Lamichhane, Bishnu P.
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Signorini problem as a variational limit of obstacle problems in nonlinear elasticity
Mathematics in EngineeringAn energy functional for the obstacle problem in linear elasticity is obtained as a variational limit of nonlinear elastic energy functionals describing a material body subject to pure traction load under a unilateral constraint representing the rigid ...
Francesco Maddalena +2 more
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