On the use of implicit constitutive relations to model the behaviour of elastic and inelastic deformations in continua: Applications to the mathematical modelling of rock

Principal Investigator: Roger Bustamante. Co-Investigator: Alejandro Ortiz-Bernardin. Project funded by Fondecyt-Conicyt Geomaterials such as rock and soil can show a plethora of nonlinear phenomena regarding their mechanical behaviour, such as: hysteresis (i.e., dependency of the mechanical properties in the load history), nonlinear relations between stresses and strains (even in the case of considering small strains),…

Study of Some New Constitutive Laws for Elastic Bodies

Principal Investigator: Roger Bustamante. Co-Investigator: Alejandro Ortiz-Bernardin. In the classical theory of continuum mechanics there are two concepts which are considered particularly important, namely stresses and strains. Even though, from an intuitive point of view, we would say that strains are ‘caused’ due to the presence of stresses in a body, when proposing constitutive laws…

Development and Assessment of An Efficient Numerical Method for Simulation of Nearly Incompressible Large Deformations Problems in Solid Mechanics

Principal Investigator: Alejandro Ortiz-Bernardin. In the era of simulation-based design, robust simulation tools are needed to efficiently analyze and accurately predict the performance of solids and structures for loadings and materials with large deformation response. Applications such as metal forming processes, kinematic response of soft biological tissues, earth moving and deep penetration in geotechnical/offshore engineering, and…

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