THEORY OF STRUCTURES AND STRENGTH OF MATERIALS

By SUSAN ANDERSON

STABILITY OF QUASI-STATIC CRACK EVOLUTION THROUGH DIMENSIONAL REDUCTION FE2-SIMULATION OF MICROHETEROGENEOUS STEELS BASED ON STATISTICALLY SIMILAR RVES ADVANCEMENTS IN THE COMPUTATIONAL CALCULUS OF VARIATIONS A PHASE FIELD APPROACH TO WETTING AND CONTACT ANGLE HYSTERESIS PHENOMENA APPLICATION OF RELAXATION METHODS IN MATERIALS SCIENCE: FROM THE MACROSCOPIC RESPONSE OF ELASTOMERS TO CRYSTAL PLASTICITY VARIATIONAL CONCEPTS WITH APPLICATIONS TO MICROSTRUCTURAL EVOLUTION A MICROMECHANICAL MODEL FOR POLYCRYSTALLINE SHAPE MEMORY ALLOYS – FORMULATION AND NUMERICAL VALIDATION TABLE OF CONTENTS SOLUTION-PRECIPITATION CREEP – MODELING AND EXTENDED FE IMPLEMENTATION TIME-CONTINUOUS EVOLUTION OF MICROSTRUCTURES IN FINITE PLASTICITY MODELS FOR DYNAMIC FRACTURE BASED ON GRIF?TH’S CRITERION AN ENERGETIC APPROACH TO DEFORMATION TWINNING COMPUTATIONAL HOMOGENIZATION OF CON?NED FRICTIONAL GRANULAR MATTER EXISTENCE THEORY FOR FINITE-STRAIN CRYSTAL PLASTICITY WITH GRADIENT REGULARIZATION ERROR BOUNDS FOR SPACE-TIME DISCRETIZATIONS OF A 3D MODEL FOR SHAPE-MEMORY MATERIALS ON THE IMPLEMENTATION OF VARIATIONAL CONSTITUTIVE UPDATES AT FINITE STRAINS PHASE-FIELD MODELING OF NONLINEAR MATERIAL BEHAVIOR POLYCONVEX ENERGIES FOR TRIGONAL, TETRAGONAL AND CUBIC SYMMETRY GROUPS PHASE TRANSITIONS WITH INTERFACIAL ENERGY: INTERFACE NULL LAGRANGIANS, POLYCONVEXITY, AND EXISTENCE A UNI?ED VARIATIONAL SETTING AND ALGORITHMIC FRAMEWORK FOR MONO- AND POLYCRYSTALLINE MARTENSITIC PHASE TRANSFORMATIONS DISSIPATIVE SYSTEMS IN CONTACT WITH A HEAT BATH: APPLICATION TO ANDRADE CREEP