Solid Mechanics
Faculteit  Science and Engineering 
Jaar  2021/22 
Vakcode  WBPH01505 
Vaknaam  Solid Mechanics 
Niveau(s)  bachelor 
Voertaal  Engels 
Periode  semester I a 
ECTS  5 
Rooster  rooster.rug.nl 
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 twodimensional elasticity problems using Airy’s stress function • is able to analyze the deformation of twodimensional truss and beam structures; • can identify boundary conditions for finiteelement 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 handson 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, cracktip 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 


Entreevoorwaarden  
Opmerkingen  Lecure notes will be made available via Nestor. This course was registered last year with course code NASM08 

Opgenomen in 
