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Syllabus for

Academic year
MHA041 - Constitutive models
 
Owner: TMASA
5,0 Credits (ECTS 7,5)
Grading: TH - Five, Four, Three, Not passed
Level: A
Department: 42 - APPLIED MECHANICS


Teaching language: Swedish

Course module   Credit distribution   Examination dates
Sp1 Sp2 Sp3 Sp4 No Sp
0198 Examination 5,0 c Grading: TH   5,0 c   02 Jun 2007 am M,  27 Aug 2007 am M

In programs

TTFYA ENGINEERING PHYSICS, Year 4 (elective)
TMASA MECHANICAL ENGINEERING - Applied Mechanics, Year 4 (elective)

Examiner:

Professor  Kenneth Runesson



Eligibility:

For single subject courses within Chalmers programmes the same eligibility requirements apply, as to the programme(s) that the course is part of.

Content

Tensor algebra. Nonlinear structural analysis. Elasticity. Viscoelasticity: Constitutive framework, time integration, Norton's prototype model. Plasticity: Constitutive framework, time integration, Hooke-von Mises' prototype model with linear mixed hardening. Yield criteria for metals, soil and concrete. Fracture Mechanics: Linear and nonlinear fracture mechanics, stress intensity factors, fracture energy. Calibration of constitutive models.

Organisation

The course comprises 28 hours of lectures (L1-L14 in the course outline). In addition 12 hours of computer assignment classes (C1-C6 in the course outline) are scheduled plus consultation time related to the assignments.

Literature

Kenneth Runesson, Paul Steinmann, Magnus Ekh and Andreas Menzel, Constitutive Modeling of Engineering Materials- Theory and Computation. Vol I. General Concepts and Inelasticity, Department of Applied Mechanics, Chalmers University of Technology, 2003. Aprox. 500 pages in total (in preparation). Selected chapters only.

Kenneth Runesson, Paul Steinmann, Magnus Ekh and Andreas Menzel, Constitutive Modeling of Engineering Materials- Theory and Computation. Vol II. Damage and Failure, Department of Applied Mechanics, Chalmers University of Technology, 2003. Aprox. 300 pages in total (in preparation). Selected chapters only.

Kenneth Runesson, Constitutive Theory and Computational Technique for Dissipative Materials with emphasis on Plasticity, Viscoplasticity and Damage, Basic material behaviour and elementary constitutive models, U63 (5th ed.), Department of Solid Mechanics, Chalmers University of Technology, 2003. 230 pages.

Examination

The main course work consist of three compulsory (CA0,CA1,CA6) and four optional (CA2-CA5) computer assignments. An informal written report for each assignment must be submitted no later than 14 days after the date of issue (see course outline). The optional assignments are graded and will then give maximum 3 credit points each. Altogether, 12 credit points can thus be obtained towards the final grade, see below. These points will remain valid until the course is given next time.

The optional final written exam comprises 3 questions/problems of theoretical character (each one worth max 2 points). Altogether 6 points can thus be obatined towards the final grade, see below. For the (passing) grade 3 on the whole course, 9 points (out of maximum 18 points) are required. For grades 4 and 5 on the course, 12 and 15 points, respectively are required. To obtain grade 5, it is thus necessary to participate in the final exam.


Page manager Published: Mon 28 Nov 2016.