کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
774369 1463225 2010 24 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
An enhanced single-layer variational formulation for the effect of transverse shear on laminated orthotropic plates
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی مکانیک
پیش نمایش صفحه اول مقاله
An enhanced single-layer variational formulation for the effect of transverse shear on laminated orthotropic plates
چکیده انگلیسی

A novel mixed formulation is derived by means of Reissner's variational approach-based on Castigliano's principle of least work in conjunction with a Lagrange multiplier method for the calculus of variations. The governing equations present an alternative theory for modeling the important three-dimensional structural aspects of plates in a two-dimensional form. By integrating the classical Cauchy's equilibrium equations with respect to the thickness co-ordinate, and enforcing continuity of shear and normal stresses at each ply interface, condenses the effect of the thickness. A reduced system of partial differential equations of sixth-order in one variable, is also proposed, which contains differential correction factors that formally modify the classical constitutive equations for composite laminates. The theory degenerates to classical composite plate analysis for thin configurations. Significant deviations from classical plate theory are observed when the thickness becomes comparable with the in-plane dimensions. A variety of case studies are presented and solutions are compared with other models available in the literature and with finite element analysis.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: European Journal of Mechanics - A/Solids - Volume 29, Issue 4, July–August 2010, Pages 567–590
نویسندگان
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