Finite Element Method to Generalized Thermoelastic Problems with Temperature-dependent Properties

2013 ◽  
Vol 13 (12) ◽  
pp. 2156-2160
Author(s):  
Tianhu He ◽  
Tao Rao ◽  
Shuanhu Shi ◽  
Huimin Li ◽  
Yongbin Ma
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Temperature Dependent ◽  
Generalized Thermoelastic ◽  
Thermoelastic Problems ◽  
Temperature Dependent Properties ◽  
Element Method

scholarly journals Prediction of Characteristic Length and Fracture Toughness in Ductile-Brittle Transition

2008 ◽  
Author(s):  
Z. X. Wang ◽  
H. M. Li ◽  
Y. J. Chao ◽  
P. S. Lam
Keyword(s):  
Finite Element Method ◽  
Fracture Toughness ◽  
Finite Element ◽  
Characteristic Length ◽  
Crack Tip ◽  
Critical Distance ◽  
Transition Regime ◽  
Temperature Dependent ◽  
Brittle Transition ◽  
Element Method

Finite element method was used to analyze the three-point bend experimental data of A533B-1 pressure vessel steel obtained by Sherry, Lidbury, and Beardsmore [1] from −160 to −45 °C within the ductile-brittle transition regime. As many researchers have shown, the failure stress (σf) of the material could be approximated as a constant. The characteristic length, or the critical distance (rc) from the crack tip, at which σf is reached, is shown to be temperature dependent based on the crack tip stress field calculated by the finite element method. With the J-A2 two-parameter constraint theory in fracture mechanics, the fracture toughness (JC or KJC) can be expressed as a function of the constraint level (A2) and the critical distance rc. This relationship is used to predict the fracture toughness of A533B-1 in the ductile-brittle transition regime with a constant σf and a set of temperature-dependent rc. It can be shown that the prediction agrees well with the test data for wide range of constraint levels from shallow cracks (a/W = 0.075) to deep cracks (a/W = 0.5), where a is the crack length and W is the specimen width.

scholarly journals Simulation of Thermoelastic Problems with the Finite Element Method

PAMM ◽  
2019 ◽  
Vol 19 (1) ◽  
Author(s):  
Fabian Matter ◽  
Pascal Ziegler ◽  
Igor Iroz ◽  
Peter Eberhard
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
The Finite Element Method ◽  
Thermoelastic Problems ◽  
Element Method

The Effects of Diffusion and Temperature-Dependent Properties on Generalized Thermoelastic Behaviors in Thermal Dynamics

2012 ◽  
Vol 625 ◽  
pp. 318-322 ◽  
Author(s):  
Yong Ping Liu ◽  
Shuan Hu Shi
Keyword(s):  
Finite Element ◽  
Diffusion Problem ◽  
Temperature Dependent ◽  
Thermal Dynamics ◽  
Thermoelastic Wave ◽  
Diffusion Wave ◽  
Thermoelastic Diffusion ◽  
Generalized Thermoelastic Diffusion ◽  
Generalized Thermoelastic ◽  
Temperature Dependent Properties

The generalized thermoelastic diffusion problem with temperature-dependent properties is investigated in the context of the theory of generalized thermoelastic diffusion. The problem is solved by means of finite element method and the derived finite element equations are solved directly in time domain. The effects of diffusion and temperature-dependent properties on generalized thermoelastic wave and mass diffusion wave are studied in detail. The results show that all the considered variables have a non-zero value only in a bounded region and vanish identically beyond this region, the temperature-dependent properties act to reduce all the considered variables and the diffusion barely influences the considered variables.

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