Discrete Scale Invariance
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1. THERMODYNAMIC NONEXTENSIVITY, DISCRETE SCALE INVARIANCE AND ELASTOPLASTICITY: A STUDY OF A SELF-ORGANIZED CRITICAL GEOMECHANICAL NUMERICAL MODEL / NÃO-EXTENSIVIDADE TERMODINÂMICA, INVARIÂNCIA DISCRETA DE ESCALA E ELASTO-PLASTICIDADE: ESTUDO NUMÉRICO DE UM MODELO GEOMECÂNICO AUTO-ORGANIZADO CRITICAMENTE
This thesis aims at applying new concepts from solid state physics and statistical mechanics - chaos theory and fractal geometry - to the study of nonlinear dynamic systems. More precisely, it deals with a two-dimensional continuum elastoplastic Mohr-Coulomb model, commonly used to simulate pressure-sensitive materials (e.g., soils, rocks and concrete) subje
Publicado em: 2003