Theoretical prediction of stiffness and strength of three-dimensional and four-directional braided composites

• Published in: Applied mathematics and mechanics Vol. 29; no. 2; pp. 163 - 170
• Main Author: 李典森 卢子兴 卢文书
• Format: Journal Article
• Language: English
• Published: Hangzhou Editorial Committee of Applied Mathematics 01.02.2008; School of Aeronautics Science and Technology,Beijing University of Aeronautics and Astronautics,Beijing 100083,P.R.China
• Subjects: Applications of Mathematics; Braided composites; Bundling; Classical Mechanics; Criteria; Failure; Fluid- and Aerodynamics; Mathematical Modeling and Industrial Mathematics; Mathematical models; Mathematics; Mathematics and Statistics; Partial Differential Equations; Stiffness; Three dimensional; Unidirectional composites; 复合材料; 机械力学; 非金属材料; 3D braiding; composites; strength; 74D10; TB332; stiffness; mechanical properties
• ISSN: 0253-4827; 1573-2754
• DOI: 10.1007/s10483-008-0204-1

Based on unit cell model, the 3D 4-directional braided composites can be simplified as unidirectional composites with different local axial coordinate system and the compliance matrix of unidirectional composites can be defined utilizing the bridge model. The total stiffness matrix of braided composites can be obtained by the volume average stiffness of unidirectional composites with different local axial coordinate system and the engineering elastic constants of braided composites were computed further. Based on the iso-strain assumption and the bridge model, the stress distribution of fiber bundle and matrix of different unidirectional composites can be determined and the tensile strength of 3D 4-directional braided composites was predicted by means of the Hoffman＇s failure criterion for the fiber bundle and Mises＇ failure criterion for the matrix.