A finite element analysis of some boundary value problems for a new type of constitutive relation for elastic bodies
Author
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Montero, S.
Author
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Bustamante, R.
Author
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Ortiz Bernardín, Alejandro
Admission date
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2016-06-13T13:45:50Z
Available date
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2016-06-13T13:45:50Z
Publication date
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2016
Cita de ítem
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Acta Mech 227, 601–615 (2016)
en_US
Identifier
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DOI: 10.1007/s00707-015-1480-6
Identifier
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https://repositorio.uchile.cl/handle/2250/138736
General note
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Artículo de publicación ISI.
en_US
Abstract
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Recently, there has been interest in the study of a new class of constitutive relation, wherein the
linearized strain tensor is assumed to be a function of the stresses. In this communication, some boundary
value problems are solved using the finite element method and the solid material being described by such a
constitutive relation, where the stresses can be arbitrarily ‘large’, but strains remain small. Three problems are
analyzed, namely the traction of a plate with hyperbolic boundaries, a plate with a point load, and the traction
of a plate with an elliptic hole. The results for the stresses and strains are compared with the predictions that
are obtained by using the constitutive equation of the classical linearized theory of elasticity.