Dual approach in non-linear fracture mechanics

2010 ◽  
pp. 135-143
Author(s):  
Claude Stolz
Keyword(s):  
Fracture Mechanics ◽  
Dual Approach ◽  
Linear Fracture Mechanics ◽  
Linear Fracture ◽  
Non Linear

scholarly journals Dual integrals in non-linear fracture mechanics

2009 ◽  
Vol 31 (3-4) ◽  
Author(s):  
Claude Stolz
Keyword(s):  
Fracture Mechanics ◽  
Energy Release Rate ◽  
Energy Release ◽  
Release Rate ◽  
Complementary Energy ◽  
Dual Approach ◽  
Linear Fracture Mechanics ◽  
Linear Fracture ◽  
Non Linear ◽  
Rate Form

We propose a dual approach in fracture mechanics based on complementary energy. The analysis of the dissipation shows that the thermodynamical force associated with the evolution of a crack is an energy release rate, form of which depends on the presence or not of mechanical discontinuities. This energy release rate is given as an integral based on free or complementary energy. We analyse the invariance of such integrals and we discuss the obtained results in elastoplasticity.

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