A residual based A POSTERIORI error estimator for an augmented mixed finite element method in linear elasticity [PDF]
, 2005 In this paper we develop a residual based a posteriori error analysis for an augmented mixed finite element method applied to the problem of linear elasticity in the plane. More precisely, we derive a reliable and efficient a posteriori error estimator
Heuer, N +16 more
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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 ...
Wheel, Marcus +2 more
core +4 more sources
Realistic computable error bounds for three dimensional finite element analyses in linear elasticity [PDF]
, 2011 We obtain a computable estimator for the energy norm of the error in piecewise affine and piecewise quadratic finite element approximations of linear elasticity in three dimensions.
Rankin, Richard Andrew Robert +1 more
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Direct localized boundary-domain integro-differential formulations for physically nonlinear elasticity of inhomogeneous body [PDF]
, 2005 A static mixed boundary value problem (BVP) of physically nonlinear elasticity for a continuously inhomogeneous body is considered. Using the two-operator Green-Betti formula and the fundamental solution of an auxiliary linear operator, a non-standard ...
Mikhailov, SE
core +6 more sources
Exact and approximate solutions of Riemann problems in non-linear elasticity [PDF]
, 2009 Eulerian shock-capturing schemes have advantages for modelling problems involving complex non-linear wave structures and large deformations in solid media.
Barton, Philip Trevor +3 more
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Four simplified gradient elasticity models for the simulation of dispersive wave propagation [PDF]
, 2008 Gradient elasticity theories can be used to simulate dispersive wave propagation as it occurs in heterogeneous materials. Compared to the second-order partial differential equations of classical elasticity, in its most general format gradient elasticity ...
Pichugin, AV +7 more
core +1 more source
Free Vibration Behavior of a Gradient Elastic Beam with Varying Cross Section
Shock and Vibration, 2014 Based on strain gradient elasticity theory, a finite element procedure is proposed for computation of natural frequencies for the microbeams of constant width and linear varying depth.
Mustafa Özgür Yayli
doaj +1 more source
Elastic-plastic analysis of shells by variational method on the basis of high-degree polynomials
Structural Mechanics of Engineering Constructions and Buildings, 2023 The purpose of the research is to develop a variational method for calculation of three-dimensional structures based on approximating functions with finite carriers of an arbitrary degree of approximation.
Farid S. Khayrullin, Oleg M. Sakhbiev
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On Finite Element Computations of Contact Problems in Micropolar Elasticity
Advances in Materials Science and Engineering, 2016 Within the linear micropolar elasticity we discuss the development of new finite element and its implementation in commercial software. Here we implement the developed 8-node hybrid isoparametric element into ABAQUS and perform solutions of contact ...
Victor A. Eremeyev +2 more
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Couple stress 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 couple stress theory of elasticity have been developed.2-D theory is developed from general 2-D equations of linear couple stress elasticity using a special curvilinear system of coordinates related to the
Zozulya V.V.
doaj +1 more source