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Project “The development of the didactic potential of Cracow University of Technology in the range of modern construction” is co-financed by the European.

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Presentation on theme: "Project “The development of the didactic potential of Cracow University of Technology in the range of modern construction” is co-financed by the European."— Presentation transcript:

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 1/71/7 M.Chrzanowski: Strength of Materials 3 SM3-02: Theoretical strength THEORETICAL STRENGTH OF SOLIDS Lennart-Jones model

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 2/72/7 M.Chrzanowski: Strength of Materials 3 SM3-02: Theoretical strength s FrFr FaFa FaFa FrFr Reactive force (repulsion)Active force (attraction) m > n (m  10, n  5) For s=s o soso FrFr FaFa FaFa FrFr

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 3/73/7 M.Chrzanowski: Strength of Materials 3 SM3-02: Theoretical strength s > s o FrFr FaFa FaFa FrFr FF soso F  0  =s-s o F s 0

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 4/74/7 M.Chrzanowski: Strength of Materials 3 SM3-02: Theoretical strength F  0 F=F R  =  R  =  R 

5 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 5/75/7 M.Chrzanowski: Strength of Materials 3 SM3-02: Theoretical strength m=10, n =5 =(10  1000)x(dośw F R ) Reasons of model to experiment discrepancy: 1.Very simplistic model 2.Defects of real crystal arrangement neglected (see Theory of Dislocations)

6 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 6/76/7 M.Chrzanowski: Strength of Materials 3 SM3-02: Theoretical strength Further idealisation  =  R F 0  F=F R Experimental value:

7 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 7/77/7 M.Chrzanowski: Strength of Materials 3 SM3-02: Theoretical strength  = 0,25 0   = 0,50 Energy consumed Energy density per unit volume to cause failure Further considerations in Fracture Mechanics


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