Nonlinear Bending of Composite Circular Plates with Embedded Shape Memory Alloy Fibers

2008 ◽  
Vol 33-37 ◽  
pp. 501-506
Author(s):  
Shi Rong Li ◽  
Wen Shan Yu
Keyword(s):  
Shape Memory ◽  
Circular Plate ◽  
Mechanical Load ◽  
Constitutive Relations ◽  
Thin Plates ◽  
Circular Plates ◽  
Nonlinear Bending ◽  
One Dimensional ◽  
Bending Deformation ◽  
Simply Supported

Based on Brinson’s one-dimensional thermo-mechanical constitutive relations of shape memory alloys and the theory of thin plates in the von Kármán sense, the response of bending of a uniform heated circular plate embedded with SMA fibers in the radial directions and subjected to a uniform distributed mechanical load is studied. The characteristic curves of the central deflection versus temperature rise of the circular plate with both clamped and simply supported boundary conditions are obtained. The numerical results show that, the recovery forces of the pre-strained SMA caused by the phase transformation from martensite to austenite can modify the bending deformation significantly. So, it can be concluded that the bending deformation can be adjusted effectively and actively by embedment of the SMA fibers into the circular plates

Design of Shape Memory Alloy Actuators

1992 ◽  
Vol 114 (2) ◽  
pp. 223-230 ◽  
Author(s):  
C. Liang ◽  
C. A. Rogers
Keyword(s):  
Thermal Analysis ◽  
Shape Memory Alloy ◽  
Shape Memory ◽  
Constitutive Relations ◽  
Design Approach ◽  
One Dimensional ◽  
Design Case ◽  
The One ◽  
Transient Thermal ◽  
Capacitance Transient

This paper describes the design of shape memory alloy force and displacement actuators based upon the thermomechanical constitutive relations previously developed by the authors. Numerical simulations and design case studies are presented which show the utility and advantages of this method over design methods currently being used. The types of actuators described and analyzed include bias spring actuators, differential force actuators, and their hybrid systems. The design approach includes coupling between the one-dimensional thermomechanical constitutive relations and a lumped capacitance transient thermal analysis. The design approach described herein will provide a practical and convenient method for use in the design of shape memory alloy actuators.

On limiting cases in the flexure of simply supported regular polygonal plates

1969 ◽  
Vol 65 (3) ◽  
pp. 831-834 ◽  
Author(s):  
K. Rajaiah ◽  
Akella Kameswara Rao
Keyword(s):  
Circular Plate ◽  
Regular Polygons ◽  
Circular Plates ◽  
Axisymmetric Loading ◽  
Simply Supported ◽  
Significant Factors

AbstractLimiting solutions are derived for the flexure of simply supported many-sided regular polygons, as the number of sides is increased indefinitely. It is shown that these solutions are different from those for simply supported circular plates. For axisymmetric loading, circular plate solutions overestimate the deflexions and the moments by significant factors.

scholarly journals Plastic Deformation of Thin Plates Subjected to Quasi-Static and Dynamic Loadings

2004 ◽  
Vol 1 (1) ◽  
pp. 59 ◽  
Author(s):  
A. A.N. Aljawi
Keyword(s):  
Plastic Deformation ◽  
Finite Element ◽  
Thin Plates ◽  
Circular Plates ◽  
Dynamic Impact ◽  
Deformation And Failure ◽  
Simply Supported ◽  
Dynamic Loadings ◽  
The Impact ◽  
Good Agreement

Deformation and failure of thin plates of mild steel were studied under quasi-static and dynamic impact loadings. Particular emphasis was placed on responses of simply supported circular plates subjected to centric orthogonal loadings. The latter comprised loadings due to relatively massive rigid cylindrical strikers with a hemispherical-end as well as a flat-end. The projectile motions featured variable and low impact velocities. Generally, good agreement was found between experimental results and those predicted by finite-element techniques for displacement-time curves and for force histories of the striker. It was concluded that the ABAQUS-based study (both the implicit and the explicit versions) revealed beneficial insights into the impact mechanics of plates by rigid projectiles. 

Analysis of thick beams with temperature-dependent material properties under thermomechanical loads

2020 ◽  
Vol 23 (9) ◽  
pp. 1838-1850 ◽  
Author(s):  
Zhong Zhang ◽  
Ding Zhou ◽  
Xiuli Xu ◽  
Xuehong Li
Keyword(s):  
Material Properties ◽  
Mechanical Load ◽  
Stress Fields ◽  
Steel Beam ◽  
State Space Method ◽  
Temperature Dependent ◽  
One Dimensional ◽  
Simply Supported ◽  
The One ◽  
Space Method

This study focuses on the thermoelastic behavior of simply supported thick beams with temperature-dependent material properties under thermomechanical loads. The heat conduction analysis is based on the one-dimensional Fourier’s law, and the displacement and stress analysis is based on the two-dimensional thermoelasticity theory. The solution of temperature field across the thickness is obtained. By dividing the beam into a series of thin slices, the temperature and the material properties in each slice are considered to be uniform. The state space method is used to give the displacements and stresses for every slice. The transfer-matrix method is used to give the displacements and stresses for the beam. Finally, an example is conducted to analyze the temperature, displacement, and stress fields in a carbon steel beam. The example reveals that the temperature not only produces displacements and stresses itself but also affects the displacements and stresses induced by the mechanical load.

Large Deflections of Circular Plates

1952 ◽  
Vol 19 (3) ◽  
pp. 287-292
Author(s):  
M. Stippes ◽  
A. H. Hausrath
Keyword(s):  
Circular Plate ◽  
Critical Values ◽  
Graphical Form ◽  
Series Expansions ◽  
Large Deflections ◽  
Circular Plates ◽  
Simply Supported ◽  
Perturbation Procedure

Abstract This paper contains a solution of von Kármán’s equations for a uniformly loaded, simply supported circular plate. The method used to obtain the solution is the perturbation procedure. Series expansions for the deflection and stresses in the plate are obtained. The legitimacy of these expansions is demonstrated in the Appendix. Critical values of stress and deflection are presented in graphical form. Furthermore, tables of coefficients for the afore-mentioned series are presented if anyone desires to extend the results which are presented here.

Bending of Circular Plates Under a Uniform Load on a Concentric Circle—Part II

1968 ◽  
Vol 90 (2) ◽  
pp. 279-293
Author(s):  
J. C. Heap
Keyword(s):  
Boundary Conditions ◽  
Circular Plate ◽  
Concentric Circle ◽  
Outer Edge ◽  
Circular Plates ◽  
Uniform Load ◽  
Simply Supported ◽  
Basic Equations

The basic equations of deflection, slope, and moments for a thin, flat, circular plate subjected to a uniform load on a concentric circle were derived for four generalized cases. From these generalized cases, six simplified cases were deduced. The four generalized cases have the uniform load acting on a concentric circle of the plate between the inner and outer edges, with the following boundary conditions: (a) Outer edge supported and fixed, inner edge fixed; (b) outer edge simply supported, inner edge free; (c) outer edge simply supported, inner edge fixed; and (d) outer edge supported and fixed, inner edge free.

Symmetrical Bending of Circular Plates of Constant Radial Bending Stress

1962 ◽  
Vol 29 (4) ◽  
pp. 696-700 ◽  
Author(s):  
J. P. Lee
Keyword(s):  
Boundary Conditions ◽  
Variable Thickness ◽  
Integrodifferential Equation ◽  
Thin Plates ◽  
Bending Stress ◽  
Circular Plates ◽  
Uniform Thickness ◽  
Simply Supported ◽  
Equation Boundary ◽  
Plates Of Variable Thickness

Bending of simply supported circular plates of constant radial bending stress subjected to uniformly distributed loading is investigated by solving a nonlinear integrodifferential equation. Boundary conditions are satisfied by joining the central portion of the plates of variable thickness to an annular rim along the boundary with uniform thickness. Usual assumptions for bending of thin plates of small deflections are assumed valid.

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