Abstract
Analytical formulae for the effective elastic constants of 2D composites with soft unidirectional fibers arranged in the hexagonal array are obtained for arbitrary concentration of fibers, from dilute case to percolation. It is supposed that every section of composites perpendicular to fibers is the hexagonal array with circular holes or soft inclusions. First, a polynomial approximation in concentration is obtained by application of functional equations. Further, an asymptotic analysis is applied to the obtained polynomial with using of the known asymptotic formulae in percolation regime. Finally, the formula for the effective shear modulus is suggested. It can be applied to the typical matrices made from ceramics, metals and polymers, and to other materials as well, e.g., for resin and thallium.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.