THEORETICAL SOLUTION AND FINITE ELEMENT SOLUTION FOR AN ORTHOTROPIC THICK CYLINDRICAL SHELL UNDER IMPACT LOAD

2000 ◽  
Vol 236 (1) ◽  
pp. 129-140 ◽  
Author(s):  
WANG XI ◽  
ZHANG KUI ◽  
ZHANG WEI ◽  
CHEN JU BING
Keyword(s):  
Finite Element ◽  
Cylindrical Shell ◽  
Impact Load ◽  
Theoretical Solution ◽  
Finite Element Solution ◽  
Element Solution

The Mechanics Analysis of the Perforated Casing on Reservoir Sanding Finite Tunneling Section

2014 ◽  
Vol 684 ◽  
pp. 83-87
Author(s):  
Huan Huan Pan ◽  
Yi Hua Dou ◽  
Yin Ping Cao
Keyword(s):  
Finite Element ◽  
Stress Concentration ◽  
Fracture Mechanics ◽  
Model Building ◽  
Theoretical Solution ◽  
Finite Element Solution ◽  
Stress Effect ◽  
Element Solution ◽  
Casing Strength ◽  
The Impact

Perforated casing eyehole stress concentration and sanding and compaction are the main reasons of casing abnormal damage during the exploitation. To understand the impact of reservoir sanding on perforated casing strength, fracture mechanics is applied to analyze the stress concentration of casing caused by perforating, while rock mechanics is applied to analyze the load of perforated casing of reservoir sanding limited bailed section, and on this basis, the impact of reservoir sanding on perforated casing strength is analyzed by the three-dimensional finite element model building. The analysis results show that the finite element solution and the theoretical solution of stresses of the perforated casing of reservoir sanding limited bailed section can be verified with each other. Under the same condition, the theoretical solution is bigger than the finite element solution, this is mainly due to the perforated casing additional bending stress effect is considered in the fracture mechanics theoretical analysis. It is conservative to estimate the perforated casing safety by finite element solution, while the theoretical solution is economical.

scholarly journals Robust Iterative Solvers for Gao Type Nonlinear Beam Models in Elasticity

2021 ◽  
Vol 0 (0) ◽  
Author(s):  
B. Borsos ◽  
János Karátson
Keyword(s):  
Finite Element ◽  
Newton Method ◽  
Newton's Method ◽  
Numerical Experiments ◽  
Elliptic Problems ◽  
Iterative Solvers ◽  
Finite Element Solution ◽  
Element Solution ◽  
Nonlinear Beam ◽  
Quasi Newton

Abstract The goal of this paper is to present various types of iterative solvers: gradient iteration, Newton’s method and a quasi-Newton method, for the finite element solution of elliptic problems arising in Gao type beam models (a geometrical type of nonlinearity, with respect to the Euler–Bernoulli hypothesis). Robust behaviour, i.e., convergence independently of the mesh parameters, is proved for these methods, and they are also tested with numerical experiments.

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