Solid Mechanics

Uitgebreide vaknaam	Solid Mechanics
Leerdoelen	Upon completion of this course, the student: • is familiar with the trilogy in continuum mechanics of kinematics, dynamics and constitutive equations; • is able to compute strain and stress for simple deformation states using the governing equations of continuum mechanics; • can transform stress and strain components under a rotation of base vectors, both algebraically and graphically, and is able to determine their principal values; • is able to relate elasticity to free energy density; • knows how material symmetries emerge in Hooke’s law; • is able to apply superposition and symmetry considerations to simplify the solution of problems • can solve some simple two-dimensional elasticity problems using Airy’s stress function • is able to analyze the deformation of two-dimensional truss and beam structures; • can identify boundary conditions for finite-element models and can critically assess results from elastic finite element computations. • is able to identify likely slip systems on the basis of the resolved shear stress and compute the plastic strain rate from crystallographic slip rates.
Omschrijving	All materials deform, even solid ones. Not only is deformation unavoidable, it is exploited in many devices as a means of sensing or measuring. This course introduces the basic concepts to describe deformation and its origin, and develops tools to study this either analytically or numerically. First, the general framework of continuum mechanics is unfolded with its key concepts of stress and strain; the theory is supplemented by specifying constitutive equations for particular material behaviour. The theory of elasticity is applied to elementary deformation states relevant in several areas of applied physics, such as bending, stress concentrators and crack tips. Next to analytical solution techniques, the finite element method (FEM) is introduced and students get hands-on experience with the versatile commercial FEM code Comsol. Finally, crystal plasticity theory is developed closely from concepts treated in the Materials Science course. 1. Continuum mechanics Field description, strain, traction, stress, virtual work. 2. Theory of elasticity Elastic energy density, thermodynamic definition of Hooke’s law, crystal symmetries, isotropy; Planar models, tension, bending, stress concentrations, crack-tip fields; Finite Element Method. 3. Crystal plasticity Slip systems, plastic strain, resolved shear stress, viscoplastic constitutive equations for single crystals; polycrystal plasticity.
Uren per week
Onderwijsvorm	Hoorcollege (LC), Practisch werk (PRC), Werkcollege (T) (computerpracticum met COMSOL)
Toetsvorm	Opdracht (AST), Schriftelijk tentamen (WE), Verslag (R) (80% WE, 10% PR, 10% AST)
Vaksoort	bachelor
Coördinator	prof. dr. ir. E. van der Giessen
Docent(en)	prof. dr. ir. E. van der Giessen
Verplichte literatuur	Titel Auteur ISBN Prijs Readers: Solid Mechanics for Applied Physicists E. van der Giessen
Entreevoorwaarden
Opmerkingen	Lecure notes will be made available via Nestor.
Opgenomen in	Opleiding Jaar Periode Type BSc Courses for Exchange Students: Astronomy - Physics - Energy & Environment - semester I a Physics / Applied Physics BSc Natuurkunde  (Minor Physics: Quantum Materials and Radiation) - semester I a keuze BSc Technische Natuurkunde 3 semester I a verplicht