6533b821fe1ef96bd127c3f9

RESEARCH PRODUCT

Boundary Integral Formulation for Composite Laminates in Torsion

Giuseppe DaviAlberto Milazzo

subject

Stress (mechanics)Cross section (physics)Numerical analysisMathematical analysisAerospace EngineeringBoundary (topology)Torsion (mechanics)Composite laminatesIntegral equationBoundary element methodMathematics

description

The three-dimensional elastic stress state in a general composite laminate under twisting load is given. The analysis is carried out through an integral equation formulation that is numerically solved by the boundary element method. The integral representation of the elastic behavior is deduced by means of the reciprocity theorem applied to the actual response of each ply and the problem's analytical singular fundamental solutions. The interface continuity conditions due to perfect bonding are considered to complete the laminate mathematical model. The method permits the analysis for generally stacked laminates having general shape of the cross section. By virtue of the formulation characteristics, the stress distributions calculated are not affected by a priori assumptions about their nature. Numerical applications are presented, and the results obtained show that the proposed method allows an accurate prediction of the complete elastic response coupled with meaningful computational advantages.

https://doi.org/10.2514/2.6