1. Project “The development of the didactic potential of Cracow University of Technology in the range of modern construction” is co-financed by the European Union within the confines of the European Social Fund and realized under surveillance of Ministry of Science and Higher Education 1/41/4 M.Chrzanowski: Strength of Materials 3 SM3-03: Failure of structures Failure of Structures Fatigue & Fracture Mechanics

2. Project “The development of the didactic potential of Cracow University of Technology in the range of modern construction” is co-financed by the European Union within the confines of the European Social Fund and realized under surveillance of Ministry of Science and Higher Education 2/42/4 M.Chrzanowski: Strength of Materials 3 SM3-03: Failure of structures  =P/A RHRH  =Δl/l o RmRm R pl Linear elastic material Nonlinear, elasto-plastic material Plastic (ductile) failure Brittle failure RH=RH= S – safety belt  ekspl =R m - S < R H 1.Far enough from failure 2.Within elastic domain  ekspl

3. Project “The development of the didactic potential of Cracow University of Technology in the range of modern construction” is co-financed by the European Union within the confines of the European Social Fund and realized under surveillance of Ministry of Science and Higher Education 3/43/4 M.Chrzanowski: Strength of Materials 3 SM3-03: Failure of structures 1.Far enough from failure 2.Within elastic domain 3.Determine  ekspl Experiment: evaluation of R m Experiment: evaluation of R H Solve Boundary Value Problem (BVP) Equilibrium equations (statics) Statics boundary condition Kinematical boundary conditions Caonstitutive equation (Hooke’s law) Kinetics of deformation A σ =3 K A  D σ =2 G D  T σ =3 K A  +2 G D 

4. Project “The development of the didactic potential of Cracow University of Technology in the range of modern construction” is co-financed by the European Union within the confines of the European Social Fund and realized under surveillance of Ministry of Science and Higher Education 4/44/4 M.Chrzanowski: Strength of Materials 3 SM3-03: Failure of structures  ekspl =R m /s < R H Fulfilment of below condition : Happens to be insufficient in at least two cases : q=q(t), P=P(t) FATIGUE of a material CRACKING of a material Fatigue Mechanics Fracture Mechanics When external loading does not remain constant in time: When irregularities in geometry of a specimen (structure) like notches or defects yield stress concentrations σ t