Higher-order gradient elasticity models applied to geometrically nonlinear discrete systems
نویسندگان
چکیده
منابع مشابه
Higher-order Gradient Elasticity Models Applied to Geometrically Nonlinear Discrete Systems
The buckling and post-buckling behavior of a nonlinear discrete repetitive system, the discrete elastica, is studied herein. The nonlinearity essentially comes from the geometrical effect, whereas the constitutive law of each component is reduced to linear elasticity. The paper primarily focuses on the relevancy of higher-order continuum approximations of the difference equations, also called c...
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Higher order gradient continuum theories have often been proposed as models for solids that exhibit localization of deformation (in the form of shear bands) at sufficiently high levels of strain. These models incorporate a length scale for the localized deformation zone and are either postulated or justified from micromechanical considerations. Of interest here is the consistent derivation of s...
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Date The final copy of this thesis has been examined by the signatories, and we find that both the content and the form meet acceptable presentation standards of scholarly work in the above mentioned discipline. In this thesis, we develop a first-order system least-squares (FOSLS) method to approximate the solution to the equations of geometrically-nonlinear elasticity in two dimensions. We con...
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ژورنال
عنوان ژورنال: Teorijska i primenjena mehanika
سال: 2015
ISSN: 1450-5584,2406-0925
DOI: 10.2298/tam1504223c