Modern Trends in Structural and Solid Mechanics 1. Группа авторов

Чтение книги онлайн.

СКАЧАТЬ solutions with error less than 0.3% in each of the nine variables, even for a very thick plate of aspect ratio 2. However, when edges are either clamped or free, a higher degree polynomial is needed in each direction to achieve the same accuracy. For a sandwich plate with ratio β of the axial modulus of the facesheet to that of the core up to 1000 and aspect ratios varying from 2 to 100, accurate results are obtained for each one of the nine variables. For β = 10,000, the accuracy considerably deteriorates with errors approaching 100%.

      All of these computations have been done using a Dell laptop. Limitations of the work include satisfying governing equations and boundary conditions in the least-squares sense rather than pointwise.

1.6. Acknowledgments

      The authors gratefully acknowledge the partial support of this work by the Office of Naval Research through grants N00014-18-1-2548 and N00014-20-1-2876 to Virginia Polytechnic Institute and State University, with Dr. Y. D. S. Rajapakse as the Program Manager. The views expressed in this chapter are those of the authors and neither of the funding agency nor of their Institution.

1.7. References

      Bahar, L.Y. (1975). A state space approach to elasticity. Journal of the Franklin Institute, 299, 33–41.

      Elishakoff, I. (2019). Handbook on Timoshenko–Ehrenfest Beam and Uflyand–Mindlin Plate Theories. World Scientific, Singapore.

      Goldberg, J.E. and Bogdanoff, J.L. (1957). Midwest applied science corporation (MASC). Report, No. 57–7.

      Horgan, C.O. and Baxter, S.C. (1998). Saint-Venant’s principle for sandwich structures. Mechanics of Sandwich Structures, 113–122.

Hyer, M.W. (2009). Stress Analysis of Fiber-Reinforced Composite Materials. DEStech Publications, Inc., Lancaster, PA.

      Jones, R.M. (1998). Mechanics of Composite Materials. CRC Press, Boca Raton.

      Kant, T. and Ramesh, C.K. (1981). Numerical integration of linear boundary value problems in solid mechanics by segmentation method. International Journal for Numerical Methods in Engineering, 17, 1233–1256.

      Moleiro, F., Mota Soares, C.M., Mota Soares, C.A., Reddy, J.N. (2011). A layerwise mixed least-squares finite element model for static analysis of multilayered composite plates. Computers & Structures, 89, 1730–1742.

      Pagano, N.J. (1969). Exact solutions for composite laminates in cylindrical bending. Journal of Composite Materials, 3, 398–411.

      Srinivas, S. and Rao, A.K. (1970). Bending, vibration and buckling of simply supported thick orthotropic rectangular plates and laminates. International Journal of Solids Structures, 6, 1463–1481.

      Toupin, R.A. (1965). Saint-Venant’s principle. Archive for Rational Mechanics and Analysis, 18, 83–96.

      Vel, S.S. and Batra, R.C. (1999). Analytical solutions for rectangular thick laminated plates subjected to arbitrary boundary conditions. AIAA Journal, 37, 1464–1473.

      Vel, S.S. and Batra, R.C. (2000). The generalized plane strain deformations of thick anisotropic composite laminated plates. International Journal of Solids Structures, 37, 715–733.

      Vlasov, B.F. (1957). On one case of bending of rectangular thick plates. In Vestnik Moskovskogo Universiteta. Serieila Matematiki, Mekhaniki, Astronomii, Fiziki, Khimii, 2(2), 25–34.

      Chapter written by Devin BURNS and Romesh C. BATRA.

      Конец ознакомительного фрагмента.

      Текст предоставлен ООО «ЛитРес».

      Прочитайте эту книгу целиком, купив полную легальную версию на ЛитРес.

      Безопасно оплатить книгу можно банковской картой Visa, MasterCard, Maestro, со счета мобильного телефона, с платежного терминала, в салоне МТС или Связной, через PayPal, WebMoney, Яндекс.Деньги, QIWI Кошелек, бонусными картами или другим удобным Вам способом.

/9j/4AAQSkZJRgABAQEBLAEsAAD/7SKCUGhvdG9zaG9wIDMuMAA4QklNBAQAAAAAACUcAgAAAgAA HAJQAAxTYW1pIE1lbmFzY2UcAgUACExheW91dCAxADhCSU0EJQAAAAAAELX3qB9z4ksiHblsoQqR Gig4QklNBDoAAAAAAOUAAAAQAAAAAQAAAAAAC3ByaW50T3V0cHV0AAAABQAAAABQc3RTYm9vbAEA AAAASW50ZWVudW0AAAAASW50ZQAAAABDbHJtAAAAD3ByaW50U2l4dGVlbkJpdGJvb2wAAAAAC3By aW50ZXJOYW1lVEVYVAAAAAEAAAAAAA9wcmludFByb29mU2V0dXBPYmpjAAAADABQAHIAbwBvAGYA IABTAGUAdAB1AHAAAAAAAApwcm9vZlNldHVwAAAAAQAAAABCbHRuZW51bQAAAAxidWlsdGluUHJv b2YAAAAJcHJvb2ZDTVlLADhCSU0EOwAAAAACLQAAABAAAAABAAAAAAAScHJpbnRPdXRwdXRPcHRp b25zAAAAFwAAAABDcHRuYm9vbAAAAAAAQ2xicmJvb2wAAAAAAFJnc01ib29sAAAAAABDcm5DYm9v bAAAAAAAQ250Q2Jvb2wAAAAAAExibHNib29sAAAAAABOZ3R2Ym9vbAAAAAAARW1sRGJvb2wAAAAA AEludHJib29sAAAAAABCY2tnT2JqYwAAAAEAAAAAAABSR0JDAAAAAwAAAABSZCAgZG91YkBv4AAA AAAAAAAAAEdybiBkb3ViQG/gAAAAAAAAAAAAQmwgIGRvdWJAb+AAAAAAAAAAAABCcmRUVW50RiNS bHQAAAAAAAAAAAAAAABCbGQgVW50RiNSbHQAAAAAAAAAAAAAAABSc2x0VW50RiNQeGxAcsAAAAAA AAAAAAp2ZWN0b3JEYXRhYm9vbAEAAAAAUGdQc2VudW0AAAAAUGdQcwAAAABQZ1BDAAAAAExlZnRV bnRGI1JsdAAAAAAAAAAAAAAAAFRvcCBVbnRGI1JsdAAAAAAAAAAAAAAAAFNjbCBVbnRGI1ByY0BZ AAAAAAAAAAAAEGNyb3BXaGVuUHJpbnRpbmdib29sAAAAAA5jcm9wUmVjdEJvdHRvbWxvbmcAAAAA AAAADGNyb3BSZWN0TGVmdG

СКАЧАТЬ