title: On a general constitutive description for the inelastic and failure behavior of fibrous laminates. II. Laminate theory and applications
abstract: For pt. I see ibid., pp. 1159-76. The two papers report systematically a constitutive description for the inelastic and strength behavior of laminated composites reinforced with various fiber preforms. The constitutive relationship is established micromechanically, through layer-by-layer analysis. Namely, only the properties of the constituent fiber and matrix materials of the composites are required as input data. In the previous part lamina theory was presented. Three fundamental quantities of the laminae, i.e. the internal stresses generated in the constituent fiber and matrix materials and the instantaneous compliance matrix, with different fiber preform (including woven, braided, and knitted fabric) reinforcements were explicitly obtained by virtue of the bridging micromechanics model. In this paper, the laminate stress analysis is shown. The purpose of this analysis is to determine the load shared by each lamina in the laminate, so that the lamina theory can be applied. Incorporation of the constitutive equations into an FEM software package is illustrated. A number of application examples are given to demonstrate the efficiency of the constitutive theory. The predictions made include: failure envelopes of multidirectional laminates subjected to biaxial in-plane loads, thermomechanical cycling stress-strain curves of a titanium metal matrix composite laminate, S-N curves of multilayer knitted fabric reinforced laminates under tensile fatigue, and bending load-deflection plots and ultimate bending strengths of laminated braided fabric reinforced beams subjected to lateral loads
keyphrases: general constitutive description failure behavior fibrous laminates laminate theory strength behavior composites fiber preforms micromechanics layer-by-layer analysis matrix materials internal stresses instantaneous compliance matrix stress analysis load FEM software package failure envelopes multidirectional laminates biaxial in-plane loads thermomechanical cycling stress-strain curves titanium metal matrix composite laminate S-N curves multilayer knitted fabric reinforced laminates tensile fatigue ultimate bending strengths laminated braided fabric reinforced beams lateral loads inelastic behavior bending load deflection plots