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BENDING ANALYSIS FOR HOLES IN LAMINATES


Although the hole problems are very important in engineering applications, most of the analytical solutions found in the literature are for two-dimensional problems. As far as the authors' knowledge, the only related analytical solutions found in the literature for the bending problems are obtained by Lekhnitskii (1968) and Lu and Mahrenholtz (1994). The former was obtained for the orthotropic plates weakened by a circular hole, which was derived nearly 63 years ago using Lekhnitskii's complex variable method (Lekhnitskii, 1968). The latter was obtained for the general anisotropic plates containing a polygon-like hole, which was derived using the modified Stroh's complex variable formalism (Lu and Mahrenholtz, 1994). While the latter solution should cover the results presented by the former solution, no verification and comparison have been provided. Due to the complexity and non-verification of the solutions provided by Lu and Mahrenholtz (1994) (actually the eigen-relation derived in their paper is incorrect, and hence all their following results are doubtful), it is necessary for us to find a simple, exact and general solution for this important, problem. Since the boundary conditions for the hole problems are not easy to be satisfied by using the conventional methods of plate bending theory, most of the efforts are devoted in the complex variable methods (Lekhnitskii, 1968). Unlike the progress of two-dimensional problems, no major advancement about the complex variable methods in plate bending theory has been developed during these few decades. Recently, owing to the efforts of several researchers, the complex variable methods in anisotropic elasticity have reached a big step by connecting Lekhnitskii formulation and Stroh formalism. However, still very few contributions have been made to the plate bending problems. Through our experience in two-dimensional anisotropic elasticity, recently we developed a Stroh-like formalism for the bending theory of anisotropic plates (Hwu, 2002a,b). In our formalism, the deflections, the moments and the transverse shear forces can all be expressed in complex matrix form. Moreover, by careful re-organization, a Stroh-like compact and elegant solution form has been formulated. Through this re-organization, most of the relations for the bending problems look very like the Stroh formalism for two-dimensional linear anisotropic elasticity. Hence, almost all the mathematical techniques developed for two-dimensional problems can lend to the plate bending problems. Borrowing from this analogy, simple analytical solutions for lamiantes with holes subjected to out-of-plane bending moments are now obtained explicitly. Moreover, the bending moments around the hole boundary are also given explicitly in this paper.......

【作者名称】: Chvanbin Hwu, M.C. Hsieh
【作者单位】: Institute of Aeronautics and Astronautics, National Cheng Kung University Tainan, Taiwan, 70101, R.O.C.
【关 键 词】: BENDING ANALYSIS FOR HOLES IN LAMINATES
【会议名称】: Ninth Annual International Conference on Composites Engineering ICCE/9 Jul 1-6, 2002 San Diego, California
【期刊论文数据库】: [DBS_Articles_01]
【期刊论文编号】: 101,777,767
【摘要长度】: 2,791
【会议地点】: San Diego, CA(US);San Diego, CA(US);San Diego, CA(US)
【会议组织】: Institute of Aeronautics and Astronautics, National Cheng Kung University Tainan, Taiwan, 70101, R.O.C.
【会议时间】: 2002
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