Skip to main content Accessibility help
×
Home

Effect of Stress Concentration on Laminated Plates

Published online by Cambridge University Press:  19 December 2012


A. S. Sayyad
Affiliation:
Department of Civil Engineering, SRES'S College of Engineering, Kopargaon-423601, India
Y. M. Ghugal
Affiliation:
Department of Applied Mechanics, Government Engineering College, Aurangabad-431005, India
Corresponding
E-mail address:

Abstract

This paper deals with the problem of stress distribution in orthotropic and laminated plates subjected to central concentrated load. An equivalent single layer trigonometric shear deformation theory taking into account transverse shear deformation effect as well as transverse normal strain effect is used to obtain in-plane normal and transverse shear stresses through the thickness of plate. Governing equations and boundary conditions of the theory are obtained using the principle of virtual work. A simply supported plate with central concentrated load is considered for the numerical analysis. Anomalous behavior of inplane normal and transverse shear stresses is observed due to effect of stress concentration compared to classical plate theory and first order shear deformation theory.


Type
Articles
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2013

Access options

Get access to the full version of this content by using one of the access options below.

References

1.Kirchhoff, G. R., “Uber Das Gleichgewicht Und Die Bewegung Einer Elastischen Scheibe,” Journal fur die Reine und Angewandte Mathematik (Crelle) [Journal for Pure and Applied Mathematics], 40, pp. 5188 (1850).CrossRefGoogle Scholar
2.Kirchhoff, G. R., “Uber Die Uchwingungen Einer Kriesformigen Elastischen Scheibe,” Poggendorffs Annalen, 81, pp. 58264 (1850).Google Scholar
3.Reissner, E., “On the Theory of Bending of Elastic Plates,” Journal of Mathematics and Physics, 23, pp. 184191 (1944).CrossRefGoogle Scholar
4.Reissner, E., “The Effect of Transverse Shear Deformation on the Bending of Elastic Plates,” Journal of Applied Mechanics, ASME, 12, pp. 6977 (1945).Google Scholar
5.Mindlin, R. D., “Influence of Rotatory Inertia and Shear on Flexural Motions of Isotropic, Elastic Plates,” Journal of Applied Mechanics, ASME, 18, pp. 3138 (1951).Google Scholar
6.Lo, K. H., Christensen, R. M. and Wu, E. M., “A High-Order Theory of Plate Deformation, Part-1: Homogeneous Plates,” Journal of Applied Mechanics, ASME, 44, pp. 663668 (1977).CrossRefGoogle Scholar
7.Lo, K. H., Christensen, R. M. and Wu, E. M., “A High-Order Theory of Plate Deformation, Part-2: Laminated Plates,” Journal of Applied Mechanics, ASME, 44, pp. 669676 (1977).CrossRefGoogle Scholar
8.Lo, K. H., Christensen, R. M. and Wu, E. M., “Stress Solution Determination for Higher Order Plate Theory,” Journal of Solids and Structures, 14, pp. 655662 (1978).CrossRefGoogle Scholar
9.Reddy, J. N., “A Refined Nonlinear Theory of Plates with Transverse Shear Deformation,” Journal of Solids and Structures, 20, pp. 881896 (1984).CrossRefGoogle Scholar
10.Reddy, J. N., “A Simple Higher Order Theory for Laminated Composite Plates,” Journal of Applied Mechanics, ASME, 51, pp. 745752 (1978).CrossRefGoogle Scholar
11.Kant, T., “Numerical Analysis of Thick Plates,” Computer Methods in Applied Mechanics and Engineering, 31, pp. 118 (1978).CrossRefGoogle Scholar
12.Savithri, S. and Varadan, T. K., “A Simple Higher Order Theory for Homogenous Plates,” Mechanics Research Communications, 19, pp. 6571 (1992).CrossRefGoogle Scholar
13.Noor, A. K. and Burton, W. S., “Assessment of Shear Deformation Theories for Multilayered Composite Plates,” Applied Mechanics Reviews, 42, pp. 113 (1989).CrossRefGoogle Scholar
14.Ghugal, Y. M. and Shimpi, R. P., “A Review of Refined Shear Deformation Theories for Isotropic and Anisotropic Laminated Plates,” Journal of Reinforced Plastics and Composites, 21, pp. 775813 (2002).CrossRefGoogle Scholar
15.Levy, M., “Memoire Dur La Theorie Des Plaques Elastique Planes,” Journal of Des Mathematiques Pures et Appliquees, 30, pp. 219306 (1877).Google Scholar
16.Stein, M., “Nonlinear Theory for Plates and Shells Including Effect of Shearing,” AIAA Journal, 24, pp. 15371544 (1986).CrossRefGoogle Scholar
17.Stein, M. and Bains, N. J. C., “Post Buckling Behavior of Longitudinally Compressed Orthotropic Plates with Transverse Shearing Flexibility,” AIAA Journal, 28, pp. 892895 (1990).CrossRefGoogle Scholar
18.Stein, M. and Jegly, D. C., “Effect of Transverse Shearing on Cylindrical Bending, Vibration and Buckling of Laminate Plates,” AIAA Journal, 25, pp. 123129 (1987).CrossRefGoogle Scholar
19.Liu, D. and Li, X., “An Overall View of Laminate Theories Based on Displacement Hypothesis,” Journal of Composite Materials, 30, pp. 15391561 (1996).CrossRefGoogle Scholar
20.Reddy, J. N. and Robbins, D. H. Jr., “Theories and Computational Models for Composite Laminates,” Applied Mechanics Reviews, 47, pp. 147169 (1994).CrossRefGoogle Scholar
21.Manjunatha, B. S. and Kant, T., “Different Numerical Techniques for the Estimation of Multiaxial Stresses in Symmetric/Unsymmetric Composite and Sandwich Beams with Refined Theories,” Journal of Reinforced Plastics and Composites, 12, pp. 237 (1993).CrossRefGoogle Scholar
22.Vinayak, R. U., Prathap, G. and Naganarayana, B. P., “Beam Elements Based on a Higher Order Theory — I: Formulation and Analysis of Performance,” Computers and Structures, 58, pp. 775789 (1996).CrossRefGoogle Scholar
23.Jones, R. M., Mechanics of Composite Materials, McGraw Hill Kogakusha, Ltd, Tokyo (1975).Google Scholar
24.Pagano, N. J., “Exact Solutions for Bidirectional Composites and Sandwich Plates,” Journal of Composite Materials, 4, pp. 2034 (1970).CrossRefGoogle Scholar

Full text views

Full text views reflects PDF downloads, PDFs sent to Google Drive, Dropbox and Kindle and HTML full text views.

Total number of HTML views: 0
Total number of PDF views: 28 *
View data table for this chart

* Views captured on Cambridge Core between September 2016 - 5th December 2020. This data will be updated every 24 hours.

Hostname: page-component-b4dcdd7-v9kvb Total loading time: 0.65 Render date: 2020-12-05T03:55:48.560Z Query parameters: { "hasAccess": "0", "openAccess": "0", "isLogged": "0", "lang": "en" } Feature Flags last update: Sat Dec 05 2020 03:00:23 GMT+0000 (Coordinated Universal Time) Feature Flags: { "metrics": true, "metricsAbstractViews": false, "peerReview": true, "crossMark": true, "comments": true, "relatedCommentaries": true, "subject": true, "clr": false, "languageSwitch": true }

Send article to Kindle

To send this article to your Kindle, first ensure no-reply@cambridge.org is added to your Approved Personal Document E-mail List under your Personal Document Settings on the Manage Your Content and Devices page of your Amazon account. Then enter the ‘name’ part of your Kindle email address below. Find out more about sending to your Kindle. Find out more about sending to your Kindle.

Note you can select to send to either the @free.kindle.com or @kindle.com variations. ‘@free.kindle.com’ emails are free but can only be sent to your device when it is connected to wi-fi. ‘@kindle.com’ emails can be delivered even when you are not connected to wi-fi, but note that service fees apply.

Find out more about the Kindle Personal Document Service.

Effect of Stress Concentration on Laminated Plates
Available formats
×

Send article to Dropbox

To send this article to your Dropbox account, please select one or more formats and confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your <service> account. Find out more about sending content to Dropbox.

Effect of Stress Concentration on Laminated Plates
Available formats
×

Send article to Google Drive

To send this article to your Google Drive account, please select one or more formats and confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your <service> account. Find out more about sending content to Google Drive.

Effect of Stress Concentration on Laminated Plates
Available formats
×
×

Reply to: Submit a response


Your details


Conflicting interests

Do you have any conflicting interests? *