Compressive fracture of non-linear composites undergoing large deformations

2001 ◽  
Vol 38 (21) ◽  
pp. 3759-3770 ◽  
Author(s):  
Igor A. Guz ◽  
Costas Soutis
Keyword(s):  
Large Deformations ◽  
Compressive Fracture ◽  
Non Linear

scholarly journals NON-CONSERVATIVENESS OF FORMULAS AS AN OBSTACLE TO THE MOTION SIMULATION

2019 ◽  
Vol 15 (2) ◽  
pp. 159-164
Author(s):  
Vladimir Zylev ◽  
Alexey Steyn ◽  
Nikita Grigoryev
Keyword(s):  
Internal Friction ◽  
Computational Model ◽  
Numerical Solution ◽  
Elastic Properties ◽  
Material Properties ◽  
Large Deformations ◽  
Nonlinear Oscillations ◽  
Motion Simulation ◽  
Non Linear ◽  
Hooke's Law

The paper considers the specifics of connection setting between deformations and stresses as applied to the problem of large non-linear oscillations, when deformations are considered arbitrarily large. It is noted that the introduction of some arbitrary physical relations in the computational model can lead to the establishment of a non­conservative system. It is shown, for example, that distribution of the ordinary Hooke’s law formulas to the area of large deformations leads to the establishment of material with the non-conservative properties. The examples are given for the numerical solution of problems with the nonlinear oscillations, where an increase in the oscillation am­plitudes or occurrence of unauthorized internal friction is shown. The simplest version of the material properties free from the indicated deficiencies is given. One of the paper conclusions is that when specifying the elastic properties of the material, it is necessary to ensure that the resulting system is conservative.

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