On the Post-Buckling Behavior of Reinforced Composite Shells

1990 ◽  
Vol 34 (03) ◽  
pp. 207-211
Author(s):  
Victor Birman
Keyword(s):  
Sufficient Conditions ◽  
Axial Loading ◽  
Dynamic Buckling ◽  
General Analysis ◽  
Composite Shells ◽  
Stiffened Shells ◽  
Reinforced Composite ◽  
Buckling Behavior ◽  
Axisymmetric Buckling ◽  
Post Buckling

The problem of post-buckling behavior of composite cylindrical shells reinforced in the axial and circumferential directions and subject to axial loading is considered. The equations of equilibrium of an imperfect shell are formulated in terms of displacements. Then the sufficient conditions of imperfection in sensitivity for both static and dynamic buckling problems are formulated. This general analysis is applied to a particular case of axisymmetric buckling of ring-stiffened shells which appear to be practically imperfection-insensitive.

A Comparison of Post-buckling Behavior for FGM Cylindrical Shells With Piezoelectric Fiber Reinforced Composite Actuators

2009 ◽  
Vol 131 (3) ◽  
Author(s):  
Hui-Shen Shen
Keyword(s):  
Material Properties ◽  
Cylindrical Shells ◽  
Piezoelectric Actuators ◽  
Functionally Graded ◽  
Control Voltage ◽  
Fiber Reinforced Composite ◽  
Reinforced Composite ◽  
Buckling Behavior ◽  
Post Buckling ◽  
Piezoelectric Fiber

Compressive post-buckling under thermal environments and thermal post-buckling due to uniform temperature field or heat conduction are presented for a shear deformable functionally graded cylindrical shell with piezoelectric fiber reinforced composite (PFRC) actuators. The material properties of functionally graded materials (FGMs) are assumed to be graded in the thickness direction according to a simple power law distribution in terms of the volume fractions of the constituents, and the material properties of both FGM and PFRC layers are assumed to be temperature-dependent. The governing equations are based on a higher order shear deformation shell theory that includes thermopiezoelectric effects. The nonlinear prebuckling deformations and initial geometric imperfections of the shell are both taken into account. A singular perturbation technique is employed to determine buckling loads (temperature) and post-buckling equilibrium paths. The numerical illustrations concern the compressive and thermal post-buckling behavior of perfect and imperfect FGM cylindrical shells with fully covered PFRC actuators under different sets of thermal and electric loading conditions, from which results for monolithic piezoelectric actuators are obtained as comparators. The results reveal that, in the compressive buckling case, the control voltage only has a small effect on the post-buckling load-deflection curves of the shell with PFRC actuators, whereas in the thermal buckling case, the effect of control voltage is more pronounced for the shell with PFRC actuators, compared with the results of the same shell with monolithic piezoelectric actuators.

scholarly journals A Simplified Analysis of the Post-buckling Behavior of a Compressed Reinforcing Bar

10.14311/650 ◽  
2004 ◽  
Vol 44 (5-6) ◽  
Author(s):  
P. Kabele
Keyword(s):  
Plastic Material ◽  
Axial Loading ◽  
Central Line ◽  
Material Behavior ◽  
Multiscale Approach ◽  
Rigid Plastic ◽  
Element Analysis ◽  
Reinforcing Bar ◽  
Buckling Behavior ◽  
Post Buckling

Recently, a computational methodology based on a sequential multiscale approach, which facilitates numerical simulation of an R/C building demolition has been developed. In this type of analysis, it is necessary to capture the behavior of compressed reinforcement bars until complete rupture, which occurs due to extensive bending in the post-buckling regime. To this end, a simplified analytical model of the post-buckling behavior of a compressed bar is proposed. The simplification consists namely in considering rigid-plastic material behavior, neglecting axial contraction of the central line, and approximating the shape of the deformed central line in the plastic hinges by a circular arch. Consequently, the axial loading force, bar end displacement, and extreme strain can be expressed in relatively simple closed forms. The results obtained with the proposed model show very close agreement with those obtained by a detailed and realistic finite element analysis, which justifies the use of the simplifying assumptions. 

Delamination Effects on Composite Shells

1990 ◽  
Vol 112 (3) ◽  
pp. 336-340 ◽  
Author(s):  
Fu-Kuo Chang ◽  
Zafer Kutlu
Keyword(s):  
Shear Fracture ◽  
Strain Energy Release ◽  
Analytical Investigation ◽  
Buckling Load ◽  
Composite Shells ◽  
Delamination Growth ◽  
Buckling Behavior ◽  
Post Buckling ◽  
Crack Tips ◽  
Updated Lagrangian

An analytical investigation was performed to study the effect of delamination on the response of cylindrical composite shells subjected to external loadings. It was of particular interest to determine the buckling load and the post-buckling behavior of externally pressurized cylindrical composite shells containing delaminations. An analytical model was developed that consists of a structural analysis for calculating the global deformations of the structures and a fracture analysis for determining the delamination growth in the structures. A nonlinear finite element code based on the updated Lagrangian formulation was developed for the model. Based on the results of calculations, it was found that delamination can significantly affect the buckling load and response of cylindrical composite shells subjected to externally pressurized loadings, depending upon the initial length and location of the delamination, ply orientation and laminate curvature. The calculated strain energy release rate at the crack tips indicates that delamination growth occurs in the wake of buckling due to Mode II shear fracture.

Buckling and Post-buckling of Composite Plates and Shells Subjected to Elevated Temperature

1993 ◽  
Vol 60 (2) ◽  
pp. 514-519 ◽  
Author(s):  
V. Birman ◽  
C. W. Bert
Keyword(s):  
Thermal Field ◽  
Axial Loading ◽  
Composite Plates ◽  
Simultaneous Action ◽  
Algebraic Equations ◽  
Equilibrium Equations ◽  
Buckling Behavior ◽  
Post Buckling ◽  
Plates And Shells ◽  
Effects Of Temperature

Effects of temperature on buckling and post-buckling behavior of reinforced and unstiffened composite plates or cylindrical shells are considered. First, equilibrium equations are formulated for a shell subjected to the simultaneous action of a thermal field and an axial loading. These equations are used to predict a general form of the algebraic equations describing the post-buckling response of a shell. Conditions for the snap-through of a shell subjected to thermomechanical loading are formulated. As an example, the theory is applied to prediction of post-buckling response of flat large-aspect-ratio panels reinforced in the direction of their short edges.

Buckling Behavior of Tire Breaker Structure

1983 ◽  
Vol 11 (1) ◽  
pp. 3-19
Author(s):  
T. Akasaka ◽  
S. Yamazaki ◽  
K. Asano
Keyword(s):  
Elastic Foundation ◽  
Elastic Moduli ◽  
Wave Length ◽  
Bending Moment ◽  
Experimental Results ◽  
Automobile Tire ◽  
Buckling Behavior ◽  
Post Buckling ◽  
Steel Cord ◽  
Interlaminar Shear

Abstract The buckled wave length and the critical in-plane bending moment of laminated long composite strips of cord-reinforced rubber sheets on an elastic foundation is analyzed by Galerkin's method, with consideration of interlaminar shear deformation. An approximate formula for the wave length is given in terms of cord angle, elastic moduli of the constituent rubber and steel cord, and several structural dimensions. The calculated wave length for a 165SR13 automobile tire with steel breakers (belts) was very close to experimental results. An additional study was then conducted on the post-buckling behavior of a laminated biased composite beam on an elastic foundation. This beam is subjected to axial compression. The calculated relationship between the buckled wave rise and the compressive membrane force also agreed well with experimental results.

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