Closed-form solutions for thermomechanical buckling of orthotropic composite plates

2020 ◽  
Vol 233 ◽  
pp. 111622
Author(s):  
Javier Gutiérrez Álvarez ◽  
Chiara Bisagni
Keyword(s):  
Closed Form ◽  
Composite Plates ◽  
Orthotropic Composite ◽  
Closed Form Solutions

Stress Concentrations in Cylindrically Orthotropic Composite Plates With a Circular Hole

1981 ◽  
Vol 48 (3) ◽  
pp. 563-569 ◽  
Author(s):  
N. J. Hoff
Keyword(s):  
Closed Form ◽  
Circular Hole ◽  
Orthotropic Plate ◽  
Composite Plates ◽  
Stress Concentrations ◽  
Orthotropic Composite ◽  
Closed Form Solutions ◽  
Cylindrically Orthotropic

The equations governing the distribution of the stresses in a cylindrically orthotropic plate with a circular hole are solved for the case when the plate is subjected to uniform uniaxial traction. Closed-form solutions are given for the circumferential stresses along the edge of the hole.

POSTBUCKLING OF COMPRESSIVELY LOADED IMPERFECT COMPOSITE PLATES: CLOSED-FORM APPROXIMATE SOLUTIONS

2010 ◽  
Vol 10 (04) ◽  
pp. 761-778 ◽  
Author(s):  
CHRISTIAN MITTELSTEDT ◽  
KAI-UWE SCHRÖDER
Keyword(s):  
Closed Form ◽  
Composite Plates ◽  
Approximate Solutions ◽  
Laminated Plates ◽  
Engineering Practice ◽  
Nonlinear Behaviour ◽  
State Variables ◽  
Shape Functions ◽  
Closed Form Solutions ◽  
Out Of Plane

In this paper, closed-form approximate solutions for the geometrically nonlinear behaviour of rectangular laminated plates with flexural orthotropy under longitudinal compression are presented. Based on the governing Marguerre-type differential equations postulated for imperfect plates, two plate configurations are discussed in detail, representing important application cases in practical engineering work. The first configuration is a laminated plate that is simply supported at all four edges (the so-called SSSS plate), while for the second configuration clamped unloaded longitudinal edges are considered (denoted as the SSCC plate). For both plate configurations, rather simple closed-form approximations in the form of trigonometric shape functions are employed for the description of the out-of-plane postbuckling plate deflections. Based on the chosen shape functions, the compatibility condition with respect to the in-plane strains is fulfilled exactly, while the out-of-plane equilibrium condition for a deflected plate element is not, but is solved using a Galerkin-type formulation instead. Eventually, very simple closed-form solutions for all postbuckling state variables (deflections, in-plane edge displacements, and effective widths) are derived that can be used very conveniently in engineering practice. The high accuracy of the presented analysis methods is established by comparison with the results of other authors.

A Closed-Form Solution for Thermal Buckling of Cross-Ply Piezolaminated Plates

2016 ◽  
Vol 16 (03) ◽  
pp. 1450112 ◽  
Author(s):  
Mehdi Bohlooly ◽  
Babak Mirzavand
Keyword(s):  
Closed Form ◽  
Plate Theory ◽  
Ritz Method ◽  
Closed Form Solution ◽  
Laminated Composite ◽  
Composite Plates ◽  
Form Solution ◽  
Thermal Buckling ◽  
Closed Form Solutions ◽  
Piezoelectric Layers

A thermal buckling analysis is presented for simply-supported rectangular symmetric cross-ply laminated composite plates that are integrated with surface-mounted piezoelectric actuators and subjected to the combined action of thermal load and constant applied actuator voltage. The material properties of the composite and piezoelectric layers are assumed to be functions of temperature. Derivations of the equations are based on the classical laminated plate theory, using the von-Karman nonlinear kinematic relations. The Ritz method is adopted to obtain closed-form solutions for the critical buckling temperature. Numerical examples are presented to verify the proposed method. The effects of the applied actuator voltage, plate geometry and stacking sequence of laminates are investigated.

Closed Form Solutions of Joint Water-Filling for Coordinated Transmission

2010 ◽  
Vol E93-B (12) ◽  
pp. 3461-3468 ◽  
Author(s):  
Bing LUO ◽  
Qimei CUI ◽  
Hui WANG ◽  
Xiaofeng TAO ◽  
Ping ZHANG
Keyword(s):  
Closed Form ◽  
Closed Form Solutions ◽  
Water Filling

CLOSED FORM SOLUTIONS TO INVESTIGATE IONIC CONDUCTIVITY IN POROUS FUEL CELL ELECTRODE MICROSTRUCTURES

2016 ◽  
Author(s):  
Matthew B. DeGostin ◽  
Arata Nakajo ◽  
George J. Nelson ◽  
Brice N. Cassenti ◽  
Aldo A. Peracchio ◽  
...  
Keyword(s):  
Fuel Cell ◽  
Ionic Conductivity ◽  
Closed Form ◽  
Closed Form Solutions ◽  
Fuel Cell Electrode ◽  
Cell Electrode
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