**Commenced**in January 2007

**Frequency:**Monthly

**Edition:**International

**Paper Count:**1382

# Search results for: Thermal buckling

##### 1382 Thermal Buckling of Rectangular FGM Plate with Variation Thickness

**Authors:**
Mostafa Raki,
Mahdi Hamzehei

**Abstract:**

Equilibrium and stability equations of a thin rectangular plate with length a, width b, and thickness h(x)=C1x+C2, made of functionally graded materials under thermal loads are derived based on the first order shear deformation theory. It is assumed that the material properties vary as a power form of thickness coordinate variable z. The derived equilibrium and buckling equations are then solved analytically for a plate with simply supported boundary conditions. One type of thermal loading, uniform temperature rise and gradient through the thickness are considered, and the buckling temperatures are derived. The influences of the plate aspect ratio, the relative thickness, the gradient index and the transverse shear on buckling temperature difference are all discussed.

**Keywords:**
Stability of plate,
thermal buckling,
rectangularplate,
functionally graded material,
first order shear deformationtheory.

##### 1381 Thermal Post-buckling of Shape Memory Alloy Composite Plates under Non-uniform Temperature Distribution

**Authors:**
Z.A. Rasid,
R. Zahari,
A. Ayob,
D.L. Majid,
A.S.M. Rafie

**Abstract:**

**Keywords:**
Post-buckling,
shape memory alloy,
temperaturedependent property,
tent-like temperature distribution

##### 1380 Thermal and Mechanical Buckling of Short and Long Functionally Graded Cylindrical Shells Using First Order Shear Deformation Theory

**Authors:**
O. Miraliyari,
M.M. Najafizadeh,
A.R. Rahmani,
A. Momeni Hezaveh

**Abstract:**

**Keywords:**
Buckling,
Functionally graded materials,
Short and long cylindrical shell,
Thermal and mechanical loads.

##### 1379 The Survey of the Buckling Effect of Laminated Plate under the Thermal Load using Complex Finite Strip Method

**Authors:**
A.R.Nezamabadi,
M.Mansouri Gavari,
S.Mansouri,
M.Mansouri Gavari

**Abstract:**

**Keywords:**
Thermal buckling ,
Thick plate ,
Complex finite strip
,
Higher – order shear deformation theory.

##### 1378 Establishing a New Simple Formula for Buckling Length Factor (K) of Rigid Frames Columns

**Authors:**
Ehab Hasan Ahmed Hasan Ali

**Abstract:**

**Keywords:**
Buckling length,
New formula,
Curve fitting,
Simplification,
Steel column design.

##### 1377 The Effects of Various Boundary Conditions on Thermal Buckling of Functionally Graded Beamwith Piezoelectric Layers Based on Third order Shear Deformation Theory

**Authors:**
O. Miraliyari

**Abstract:**

This article attempts to analyze functionally graded beam thermal buckling along with piezoelectric layers applying based on the third order shearing deformation theory considering various boundary conditions. The beam properties are assumed to vary continuously from the lower surface to the upper surface of the beam. The equilibrium equations are derived using the total potential energy equations, Euler equations, piezoelectric material constitutive equations and third order shear deformation theory assumptions. In order to fulfill such an aim, at first functionally graded beam with piezoelectric layers applying the third order shearing deformation theory along with clamped -clamped boundary conditions are thoroughly analyzed, and then following making sure of the correctness of all the equations, the very same beam is analyzed with piezoelectric layers through simply-simply and simply-clamped boundary conditions. In this article buckling critical temperature for functionally graded beam is derived in two different ways, without piezoelectric layer and with piezoelectric layer and the results are compared together. Finally, all the conclusions obtained will be compared and contrasted with the same samples in the same and distinguished conditions through tables and charts. It would be noteworthy that in this article, the software MAPLE has been applied in order to do the numeral calculations.

**Keywords:**
Thermal buckling,
functionally graded beam,
piezoelectric layer,
various boundary conditions.

##### 1376 Effect of the Rise/Span Ratio of a Spherical Cap Shell on the Buckling Load

**Authors:**
Peter N. Khakina,
Mohammed I. Ali,
Enchun Zhu,
Huazhang Zhou,
Baydaa H. Moula

**Abstract:**

**Keywords:**
Buckling,
Finite element,
Rise/span ratio,
Sphericalcap

##### 1375 Lateral Torsional Buckling of Steel Thin-Walled Beams with Lateral Restraints

**Authors:**
Ivan Balázs,
Jindřich Melcher

**Abstract:**

**Keywords:**
Beam,
buckling,
numerical analysis,
stability,
steel.

##### 1374 Approximate Tension Buckling Capacity of Thin Edge-Cracked Web Plate Subjected to Pure Bending

**Authors:**
Sebastian B. Mendes

**Abstract:**

**Keywords:**
Fatigue crack,
tension buckling,
Rayleigh-Ritz,
structural stability.

##### 1373 Buckling Analysis of Rectangular Plates under the Combined Action of Shear and Uniaxial Stresses

**Authors:**
V. Piscopo

**Abstract:**

**Keywords:**
Buckling analysis,
Shear,
Uniaxial Stresses.

##### 1372 The Effects of Plate-Support Condition on Buckling Strength of Rectangular Perforated Plates under Linearly Varying In-Plane Normal Load

**Authors:**
M. Tajdari,
A. R. Nezamabadi,
M. Naeemi,
P. Pirali

**Abstract:**

**Keywords:**
Buckling,
Perforated plates,
Boundary condition,
Rectangular plates

##### 1371 Critical Buckling Load of Carbon Nanotube with Non-Local Timoshenko Beam Using the Differential Transform Method

**Authors:**
Tayeb Bensattalah,
Mohamed Zidour,
Mohamed Ait Amar Meziane,
Tahar Hassaine Daouadji,
Abdelouahed Tounsi

**Abstract:**

In this paper, the Differential Transform Method (DTM) is employed to predict and to analysis the non-local critical buckling loads of carbon nanotubes with various end conditions and the non-local Timoshenko beam described by single differential equation. The equation differential of buckling of the nanobeams is derived via a non-local theory and the solution for non-local critical buckling loads is finding by the DTM. The DTM is introduced briefly. It can easily be applied to linear or nonlinear problems and it reduces the size of computational work. Inﬂuence of boundary conditions, the chirality of carbon nanotube and aspect ratio on non-local critical buckling loads are studied and discussed. Effects of nonlocal parameter, ratios L/d, the chirality of single-walled carbon nanotube, as well as the boundary conditions on buckling of CNT are investigated.

**Keywords:**
Boundary conditions,
buckling,
non-local,
the differential transform method.

##### 1370 A New Perturbation Technique in Numerical Study on Buckling of Composite Shells under Axial Compression

**Authors:**
Zia R. Tahir,
P. Mandal

**Abstract:**

**Keywords:**
CFRP Composite Cylindrical Shell,
Finite Element
Analysis,
Perturbation Technique,
Asymmetric Meshing Technique,
Linear Eigenvalue analysis,
Non-linear Riks Analysis

##### 1369 An Approximate Lateral-Torsional Buckling Mode Function for Cantilever I-Beams

**Authors:**
H. Ozbasaran

**Abstract:**

**Keywords:**
Buckling mode,
cantilever,
lateral-torsional
buckling,
I-beam.

##### 1368 Influence of p-y curves on Buckling Capacity of Pile Foundation

**Authors:**
Praveen Huded M.,
Suresh R. Dash

**Abstract:**

Pile foundations are one of the most preferred deep foundation systems for high rise or heavily loaded structures. In many instances, the failure of the pile founded structures in liquefiable soils had been observed even in many recent earthquakes. Failure of pile foundation have occurred because of buckling, as the pile behaves as an unsupported slender structural element once the surrounding soil liquefies. However, the buckling capacity depends on the depth of soil liquefied and its residual strength. Hence it is essential to check the pile against the possible buckling failure. Beam on non-linear Winkler Foundation is one of the efficient methods to model the pile-soil behavior in liquefiable soil. The pile-soil interaction is modelled through p-y springs, there are different p-y curves available for modeling liquefiable soil. In the present work, the influence of two such p-y curves on the buckling capacity of pile foundation is studied considering the initial geometric and non-linear behavior of pile foundation. The proposed method is validated against experimental results. A significant difference in the buckling capacity is observed for the two p-y curves used in the analysis. A parametric study is conducted to understand the influence of pile flexural rigidity, different initial geometric imperfections, and different soil relative densities on the buckling capacity of pile foundation.

**Keywords:**
pile foundation,
liquefaction,
buckling load,
non-linear p-y curve

##### 1367 Effect of Shell Dimensions on Buckling Behavior and Entropy Generation of Thin Welded Shells

**Authors:**
Sima Ziaee,
Khosro Jafarpur

**Abstract:**

**Keywords:**
Buckling behavior,
Elastic viscoplastic model,
Entropy generation,
Finite element method,
Shell dimensions.

##### 1366 Buckling of Plates on Foundation with Different Types of Sides Support

**Authors:**
Ali N. Suri,
Ahmad A. Al-Makhlufi

**Abstract:**

In this paper the problem of buckling of plates on foundation of finite length and with different side support is studied.

The Finite Strip Method is used as tool for the analysis. This method uses finite strip elastic, foundation, and geometric matrices to build the assembly matrices for the whole structure, then after introducing boundary conditions at supports, the resulting reduced matrices is transformed into a standard Eigenvalue-Eigenvector problem. The solution of this problem will enable the determination of the buckling load, the associated buckling modes and the buckling wave length.

To carry out the buckling analysis starting from the elastic, foundation, and geometric stiffness matrices for each strip a computer program FORTRAN list is developed.

Since stiffness matrices are function of wave length of buckling, the computer program used an iteration procedure to find the critical buckling stress for each value of foundation modulus and for each boundary condition.

The results showed the use of elastic medium to support plates subject to axial load increase a great deal the buckling load, the results found are very close with those obtained by other analytical methods and experimental work.

The results also showed that foundation compensates the effect of the weakness of some types of constraint of side support and maximum benefit found for plate with one side simply supported the other free.

**Keywords:**
Buckling,
Finite Strip,
Different Sides Support,
Plates on Foundation.

##### 1365 Mechanical Buckling of Engesser-Timoshenko Beams with a Pair of Piezoelectric Layers

**Authors:**
A. R. Nezamabadi,
M. Karami Khorramabadi

**Abstract:**

**Keywords:**
Mechanical Buckling,
Engesser-Timoshenko
beam theory - Piezoelectric layer.

##### 1364 On the Evaluation of Critical Lateral-Torsional Buckling Loads of Monosymmetric Beam-Columns

**Abstract:**

**Keywords:**
Lateral-torsional buckling,
stability,
beam-column,
monosymmetric section.

##### 1363 Comparative Analysis of Vibration between Laminated Composite Plates with and without Holes under Compressive Loads

**Authors:**
Bahi-Eddine Lahouel,
Mohamed Guenfoud

**Abstract:**

**Keywords:**
Vibration,
Buckling,
Cutout,
Laminated composite,
FEM

##### 1362 Thermal Cracking Respone of Reinforced Concrete Beam to Gradient Temperature

**Authors:**
L. Dahmani,
M.Kouane

**Abstract:**

**Keywords:**
Cracking,
Gradient Temperature,
Reinforced Concrete beam,
Thermo-mechanical analysis.

##### 1361 Elastic Failure of Web-Cracked Plate Girder

**Authors:**
Sebastian B. Mendes

**Abstract:**

**Keywords:**
Fatigue crack,
flange yielding,
flange buckling,
web buckling.

##### 1360 A Parametric Study on Lateral Torsional Buckling of European IPN and IPE Cantilevers

**Authors:**
H. Ozbasaran

**Abstract:**

IPN and IPE sections, which are commonly used European I shapes, are widely used in steel structures as cantilever beams to support overhangs. A considerable number of studies exist on calculating lateral torsional buckling load of I sections. However, most of them provide series solutions or complex closed-form equations. In this paper, a simple equation is presented to calculate lateral torsional buckling load of IPN and IPE section cantilever beams. First, differential equation of lateral torsional buckling is solved numerically for various loading cases. Then a parametric study is conducted on results to present an equation for lateral torsional buckling load of European IPN and IPE beams. Finally, results obtained by presented equation are compared to differential equation solutions and finite element model results. ABAQUS software is utilized to generate finite element models of beams. It is seen that the results obtained from presented equation coincide with differential equation solutions and ABAQUS software results. It can be suggested that presented formula can be safely used to calculate critical lateral torsional buckling load of European IPN and IPE section cantilevers.

**Keywords:**
Cantilever,
IPN,
IPE,
lateral torsional buckling

##### 1359 Refined Buckling Analysis of Rectangular Plates Under Uniaxial and Biaxial Compression

**Authors:**
V. Piscopo

**Abstract:**

**Keywords:**
Buckling analysis,
Thick plates,
Biaxial stresses

##### 1358 Shear Buckling of a Large Pultruded Composite I-Section under Asymmetric Loading

**Authors:**
Jin Y. Park,
Jeong Wan Lee

**Abstract:**

**Keywords:**
Strain sensor,
displacement sensor,
shear buckling,
polymer composite I-section,
asymmetric loading.

##### 1357 Buckling Analysis of a Five-walled CNT with Nonlocal Theory

**Authors:**
Alireza Bozorgian,
Navid Majdi Nasab,
Abdolreza Memari

**Abstract:**

**Keywords:**
Buckling,
Carbon nanotube,
van der Waals
interaction,
Multi-walled Carbon nanotube,
Critical Strain,
Prebuckling
Pressure

##### 1356 Torsional Rigidities of Reinforced Concrete Beams Subjected to Elastic Lateral Torsional Buckling

**Authors:**
Ilker Kalkan,
Saruhan Kartal

**Abstract:**

**Keywords:**
Lateral stability,
post-cracking torsional rigidity,
uncracked torsional rigidity,
critical moment.

##### 1355 Numerical Buckling of Composite Cylindrical Shells under Axial Compression Using Asymmetric Meshing Technique (AMT)

**Authors:**
Zia R. Tahir,
P. Mandal

**Abstract:**

This paper presents the details of a numerical study of buckling and post buckling behaviour of laminated carbon fiber reinforced plastic (CFRP) thin-walled cylindrical shell under axial compression using asymmetric meshing technique (AMT) by ABAQUS. AMT is considered to be a new perturbation method to introduce disturbance without changing geometry, boundary conditions or loading conditions. Asymmetric meshing affects both predicted buckling load and buckling mode shapes. Cylindrical shell having lay-up orientation [0^o/+45^o/-45^o/0^o] with radius to thickness ratio (R/t) equal to 265 and length to radius ratio (L/R) equal to 1.5 is analysed numerically. A series of numerical simulations (experiments) are carried out with symmetric and asymmetric meshing to study the effect of asymmetric meshing on predicted buckling behaviour. Asymmetric meshing technique is employed in both axial direction and circumferential direction separately using two different methods, first by changing the shell element size and varying the total number elements, and second by varying the shell element size and keeping total number of elements constant. The results of linear analysis (Eigenvalue analysis) and non-linear analysis (Riks analysis) using symmetric meshing agree well with analytical results. The results of numerical analysis are presented in form of non-dimensional load factor, which is the ratio of buckling load using asymmetric meshing technique to buckling load using symmetric meshing technique. Using AMT, load factor has about 2% variation for linear eigenvalue analysis and about 2% variation for non-linear Riks analysis. The behaviour of load end-shortening curve for pre-buckling is same for both symmetric and asymmetric meshing but for asymmetric meshing curve behaviour in post-buckling becomes extraordinarily complex. The major conclusions are: different methods of AMT have small influence on predicted buckling load and significant influence on load displacement curve behaviour in post buckling; AMT in axial direction and AMT in circumferential direction have different influence on buckling load and load displacement curve in post-buckling.

**Keywords:**
CFRP Composite Cylindrical Shell,
Asymmetric
Meshing Technique,
Primary Buckling,
Secondary Buckling,
Linear
Eigenvalue Analysis,
Non-linear Riks Analysis.

##### 1354 Study on Buckling and Yielding Behaviors of Low Yield Point Steel Plates

**Authors:**
David Boyajian,
Tadeh Zirakian

**Abstract:**

**Keywords:**
Plates,
buckling,
yielding,
low yield point steel,
steel plate shear walls.

##### 1353 Using FEM for Prediction of Thermal Post-Buckling Behavior of Thin Plates During Welding Process

**Authors:**
Amin Esmaeilzadeh,
Mohammad Sadeghi,
Farhad Kolahan

**Abstract:**

Arc welding is an important joining process widely used in many industrial applications including production of automobile, ships structures and metal tanks. In welding process, the moving electrode causes highly non-uniform temperature distribution that leads to residual stresses and different deviations, especially buckling distortions in thin plates. In order to control the deviations and increase the quality of welded plates, a fixture can be used as a practical and low cost method with high efficiency. In this study, a coupled thermo-mechanical finite element model is coded in the software ANSYS to simulate the behavior of thin plates located by a 3-2-1 positioning system during the welding process. Computational results are compared with recent similar works to validate the finite element models. The agreement between the result of proposed model and other reported data proves that finite element modeling can accurately predict the behavior of welded thin plates.

**Keywords:**
Welding,
thin plate,
buckling distortion,
fixture locators,
finite element modelling.