Se invita cordialmente a los alumnos de Ingeniería a asistir a la charla dictada por el Prof. Roger Bustamante, Doctor (PhD), Departamento de Ingeniaría Mecánica, Universidad de Chile.
El trabajo a presentar se titula A nonlinear model for the mechanical behaviour of rock. La charla será el día Martes 13 de Junio de 2017 a las 09:30 hs. en el Auditorio de Ingeniería Mecánica.
In this work a relatively new type of constitutive equations for elastic bodies, is used to model the mechanical behaviour of rock, assuming as a first approximation that rock behaves as an elastic body. From the literature it is possible to observe that rock can show a nonlinear behaviour in the range of small strains, see, for example, [1-4]. In particular it is well know that such material show a different behaviour in tension and compression . A constitutive equation of the form ε=f(T) is used to fit some of the experimental data found in the literature, where ε is the linearized stress tensor, and T is the Cauchy stress tensor . It has been shown that that is the correct manner to express the relation between such variables when we consider a nonlinear elastic body, where the gradient of the displacement field is small (which implies that the strain tensor is small), see, for example, [7,8]. Some boundary value problems are solved, comparing the results with the case of considering the classical linearized equations for isotropic elastic bodies .
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6. R. Bustamante, K.R. Rajagopal, A nonlinear model for the mechanical behaviour of rock. (In preparation).
7. R. Bustamante, K.R. Rajagopal, Solutions of some boundary value problems for a new class of elastic bodies undergoing small strains. Comparison with the predictions of the classical theory of linearized elasticity: Part I. Problems with cylindrical symmetry. Acta Mechanica, 226 (2015) 1815-1838.
8. K. R. Rajagopal, On the nonlinear elastic response of bodies in the small strain range. Acta Mechanica, 225 (2014) 1545-1553.