Integrity of Materials

Lecturer:

Jiří Janovec (gar.)

Tutor:

Jiří Janovec (gar.)

Supervisor:

Department of Materials Engineering

Synopsis:

Dealing with tasks of continuum mechanics; finite element method. Matrix and tensor calculus of stress and strain. Linear and nonlinear fracture mechanics. Assessment of conditions of integrity of structures, operation, safety and reliability of structures with defects.

Requirements:

Presentation of both annual projects in the form of reports

Passing of final test on continuum mechanics (result better than 50%)

Syllabus of lectures:

1.Finite element method (FEM); interpolation on the triangle, matrix form of Hooke´s Law for plane problems

2.FEM : deriving equilibrium equations from energy balance; deriving quadratic form

3.FEM : deriving a toughness matrix from a triangular element; forming a body matrix, boundary conditions for displacement

4.Continuum mechanics (CM)-Cartesian orthogonal tensors: transition matrix, vector transformation, transformation of 2nd order tensor

5.CM- Cartesian orthogonal tensors: invariants of 2nd order symmetric tensor, stress and strain tensor

6.CM - geometrically nonlinear tasks : strain gradient, displacement gradient and jacobian, power conjugate quantities, Green-Lagrange strain tensor, second Piola-Kirchhoff stress tensor, Cauchy stress tensor

7.CM - geometrically nonlinear tasks : structure of constitutive relations with respect to strain energy, Hooke´s Law and Duhamel-Neumann´s Law

8.Theoretical strength of materials, potential of binding forces

9.Failure and fracture of bodies (structural and external effects, fracture morphology, energy criteria of brittle failure, phenomenology of transition behaviour, criteria of transition temperatures, Pellini diagramme of failure analysis)

10.Linear fracture mechanics, state of plane stress and plain strain. Fracture toughnes KIc.

11.Elastic-plastic fracture mechanics, critical opening of flaw COD, J integral JIc.

12.Dynamic and reference fracture toughness KIR , reference temperature TR

13.Assessment of permissible defect size and guidelines for design of structures, application of fracture mechanics to fatigue, creep, stress corrosion and irradiation damage

14.Two-parametric criteria for evaluation of operation safety

Syllabus of tutorials:

1.Annual project on continuum mechanics

2.Annual project project on fracture mechanics

Study Objective:

Study materials:

Anderson, T.L. : Fracture Mechanics, Pergamon Press, New York, 1994

Kunz, J., Langner J. et. al. : Fundamentals of Fracture Mechanics, 4th Edition, University Press ČVUT Praha, 2006 (in Czech)

Note:

Time-table for winter semester 2011/2012:

Time-table is not available yet

Time-table for summer semester 2011/2012:

Time-table is not available yet

The course is a part of the following study plans: