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41522 Advanced Material Mechanics
Danish title: Videregående materialemekanik
Language:  English    ECTS-creditpoints:  10, External examination.   
Type:  , course at phd level, open university
Program:  Mechanical Engineering
Class schedule:   F4
Exam schedule:   F4
Recommended semester:  7th - 9th semester
Scope and form:  Lectures and problem solving
Evaluation:  Oral exam and approval of reports
Each part counts 50%
Examination:  13-scale
Previous course:  (C7011 / 70311)+(C7012 / 70312)
Prerequisites:  70102 / 41502
No credit points with:  (C7011 / 70311)+(C7012 / 70312)
Aim:  To explain the background for non-linear and irreversible material behaviour in metals, polymers, ceramics and composites due to plastic and viscous deformation and due to crack propagation. To give insight and to practice the application of models for plastic instability and crack propagation under static and dynamic loading. To determine deformation mechanisms, which are relevant for the strength of materials and structures.
Contents:  Linear elastic fracture mechanics. Stress singularities at crack tips. Size and shape of near tip plastic zones. Deformation and incremental theories for elastic-plastic materials. Convexity and normality. Micro mechanisms causing plastic deformation. Equilibrium equations and extremum principles. Elastic-plastic fracture mechanics, HRR stress fields with solution of non-linear eigenvalue problems. J-integral for non-linear material behaviour. Micro mechanisms and models for fatigue crack growth. Visco-plasticity with dependence of plastic deformation on strain rates and high temperature creep. Plastic buckling, collapse analyses, tensile instabilities, fibre pull-out, stable and unstable crack growth, localisation of strains, fibre micro buckling. Modern numerical methods.
Contact:  Viggo Tvergaard, building 404, (+45) 4525 4273, vit@mek.dtu.dk
Henrik Myhre Jensen, building 404, (+45) 4525 4283, henrik@mek.dtu.dk
Department: 041 Department of Mechanical Engineering
Keywords:  Plasticity, viscoplasticity, creep, fracture criteria, crack growth, fatigue fracture
Updated:  13-06-2001