Elastic Bending Deformation of the Drill Strings in Channels of Curve Wells

Musa, Nabil Wanas

doi:10.4236/mme.2017.71001

Cited by 4 publications

(6 citation statements)

References 9 publications

(9 reference statements)

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“…where: is the strain energy within ; the external work applied on ; is the traction on Γ; the unit outward normal; the component of the stress tensor; , , are respectively the components of the membrane, bending and transverse shear vectors; , and are respectively the components of the membrane, bending and transverse distributed force vectors. The strain vectors following Mindlin-Reissner plate theory [38][39][40] are:…”

Section: Buckling Equations For the Es-pimmentioning

confidence: 99%

ES-PIM applied to buckling of variable angle tow laminates

Castro

Donadon

Guimarães

2019

Composite Structures

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The increasing need for automatic mesh generation has led to the development of efficient triangulation algorithms that are able to discretize any 2D or 3D domain. Modern finite element formulations based on strain smoothing techniques (SFEM) provide enhanced convergence properties, preventing yet the stiffening behavior of triangular meshes. Recent research has shown that meshless methods based on triangular mapping of the integration domain can be used to produce even better convergence properties than SFEM. The present study will explore the Edge-based Smoothed Point Interpolation Method (ES-PIM) as a meshless solution to investigate linear buckling on variable angle tow (VAT) laminates. Such advanced composite structures show a heterogeneous distribution of constitutive properties and thickness, presenting additional challenges to the numerical solution. Important aspects related to the transverse shear correction herein adopted are investigated, leading to interesting conclusions regarding the possibility to use the ES-PIM for conservative estimates of the critical buckling load of VAT laminates.

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Section: Buckling Equations For the Es-pimmentioning

confidence: 99%

ES-PIM applied to buckling of variable angle tow laminates

Castro

Donadon

Guimarães

2019

Composite Structures

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“…The solution of this system regarding functions t and u brings (1-2) to the form described by (7)(8). Another first integral is derived from the moment equilibrium regarding the current cross-section s…”

Section: Geotechnical and Mining Mechanical Engineering Machine Builmentioning

confidence: 99%

“…Thus, the casing column functions as a long, permanent rod placed on centralizers and is subject to considerable geometric distortions of its axis replicating the well's curvilinear shape [7]. As a result, the pipe bodies are exposed to a complex stress-strain state caused by their bending and axial tension or compression, which decreases the casing reliability and durability [8]. Therewith, internal deformations of the metal should not exceed the proportional limit and Hooke's law.…”

mentioning

confidence: 99%

Large deformations of the casing string under its own weight in the curvilinear well

Kryzhanivskyi¹,

Paliichuk²,

Malyk³

2018

NVNGU

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Purpose. Determination of deformation and force parameters that describe the strain-stress state of the casing string in non-vertical well-bore areas. Methodology. In a curvilinear well, the casing functions as a long permanent continuous rod. Its weight might cause some deformations that can be determined by a heterogeneous system of four differential equations. Taking into consideration the technological requirements for pipe installation on centralizers allows us to make the first integral of the system linear. findings. It is proved that the elastic rod deformation under the impact of the longitudinal and transverse forces of the distributed weight can be calculated by a heterogeneous second order differential equation with variable coefficients. Its solution is the clue to the formulas of deflections, angular slopes, internal bending moments and transverse forces in the rod with the arbitrary arrangement of supports and boundary conditions in their intersections. Originality. The solution of the governing differential equation of angular deformations of a long bar is found in the form of a linear combination of Airy and Scorer's functions and in the form of three linearly independent polynomial series in the sum with a partial answer. Practical value. The obtained formulas of flexure and power parameters allow us to calculate stress and strain in the tubing during the process of casing the borehole of an arbitrary profile which increases the reliability and durability of the well.

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“…The major limitation of this theory was identified during the analysis of thick plates, where the contribution of shear deformation cannot be neglected. In order to propose an alternative solution, a theory which considers the variation of shear deformation in a linear sense was introduced by Reissner-Mindlin (Mindlin, [2]; Reissner, [3]) as first-order shear deformation theory (FSDT). However, the linear assumption of shear deformation variation leads to the use of a shear correction factor in order to account for the realistic parabolic variation of transverse shear strain.…”

Section: Introductionmentioning

confidence: 99%

Hygrothermal Analysis of Laminated Composite Skew Conoids

et al. 2019

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The present paper is the first study on the hygrothermal analysis (i.e., effect of temperature and moisture loadings) of laminated composite skew conoids with reasonable depth and thickness. In order to solve the hygrothermal problem of laminated composite skew conoids, the cubic variation in displacement field, along with cross curvature effects of the shell, were considered. In the present analysis, the shear correction factor is not needed due to the parabolic variation of transverse shear strain. The zero transverse shear stress conditions at the top and bottom of the shell were imposed in the mathematical model. The novelty of our model is reflected by the simultaneous addition of twist curvature in the strain field, as well as the curvature in the displacement field allowing the reasonably thick and deep laminated composite rhombic conoid. The conoid behavior differs from the usual shells, like cylindrical or spherical ones, due to its inherent twist curvature with the complex geometry and different location of maximum deflection. The finite element (FE) implementation of the present realistic mathematical model was carried out using a nine-noded curved isoparametric element with seven unknowns at each node. The C0 FE implementation of the present mathematical model was done and coded in FORTRAN. The present model results were compared and found in good agreement with other solutions published in the literature. Hygrothermal analysis was performed for skew conoids having a different skew angle, temperature, moisture concentration, curvatures, ply orientation, thickness ratio, and boundary conditions.

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Elastic Bending Deformation of the Drill Strings in Channels of Curve Wells

Cited by 4 publications

References 9 publications

ES-PIM applied to buckling of variable angle tow laminates

ES-PIM applied to buckling of variable angle tow laminates

Large deformations of the casing string under its own weight in the curvilinear well

Hygrothermal Analysis of Laminated Composite Skew Conoids

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