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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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
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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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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
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Principal stress and strain trajectories in non-linear elastostatics [PDF]
, 1984 The Maxwell-Lame equations governing the principal components of Cauchy stress for plane deformations are well known in the context of photo-elasticity, and they form a pair of coupled first-order hyperbolic partial differential equations when the ...
Ogden, R W
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Income elasticity of Czechs' household demand for meat and meat products: autoregressive model
Acta Universitatis Agriculturae et Silviculturae Mendelianae Brunensis, 2008 The paper is focused on the wider concept of the income-elasticity analysis within of the average Czechs' household demand for the meat and meat products including demand for fish and fish products.
Pavel Syrovátka
doaj +1 more source
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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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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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
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The problem of dynamic cavitation in nonlinear elasticity [PDF]
, 2012 The notion of singular limiting induced from continuum solutions (slic-solutions) is applied to the problem of cavitation in nonlinear elasticity, in order to re-assess an example of non-uniqueness of entropic weak solutions (with polyconvex energy)
Miroshnikov, Alexey +5 more
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