Robust numerical implementation of a 3D rate‐dependent model for reservoir geomechanical simulations

2019 ◽  
Vol 43 (18) ◽  
pp. 2752-2771 ◽  
Author(s):  
Giovanni Isotton ◽  
Pietro Teatini ◽  
Massimiliano Ferronato ◽  
Carlo Janna ◽  
Nicolò Spiezia ◽  
...  
Keyword(s):  
Numerical Implementation ◽  
Rate Dependent ◽  
Dependent Model

A strain-rate dependent model for crack growth

1992 ◽  
pp. 109-119 ◽  
Author(s):  
G. E. Papakaliatakis ◽  
E. E. Gdoutos ◽  
E. Tzanaki
Keyword(s):  
Strain Rate ◽  
Crack Growth ◽  
Rate Dependent ◽  
Dependent Model

scholarly journals Modified Green–Lindsay thermoelasticity wave propagation in elastic materials under thermal shocks

2020 ◽  
Author(s):  
Farshad Shakeriaski ◽  
Maryam Ghodrat ◽  
Juan Escobedo-Diaz ◽  
Masud Behnia
Keyword(s):  
Wave Propagation ◽  
Thermal Shock ◽  
Generalized Thermoelasticity ◽  
Stress Wave Propagation ◽  
Rate Dependent ◽  
Classic Theory ◽  
Finite Strain Theory ◽  
Dependent Model ◽  
Temperature Rate ◽  
Acceptable Agreement

Abstract In this study, a nonlinear numerical method is presented to solve the governing equations of generalized thermoelasticity in a large deformation domain of an elastic medium subjected to thermal shock. The main focus of the study is on the modified Green–Lindsay thermoelasticity theory, solving strain and temperature rate-dependent model using finite strain theory. To warrant the continuity of the finding responses at the boundary after the applied shock, higher order elements are adopted. An analytical solution is provided to validate the numerical findings and an acceptable agreement between the two presented solutions is obtained. The findings revealed that stress and thermal waves have distinct interactions and a harmonic temperature variation may lead to a systematic uniform stress distribution. Besides, a notable difference in the results predicted by the modified Green–Lindsay model and classic theory is observed. It is also found that the modified Green–Lindsay theory is more efficient in determining the wave propagation phenomenon. Furthermore, the findings established that thermal shock induces tensile stresses in the structure immediately after the shock, and the perceived phenomenon mainly depends on the defined boundary conditions. The results show that the strain rate can have a significant influence on the displacement and stress wave propagation in a structure subjected to thermal shock and these impacts may be more considerable with mechanical loading.

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