Compression-induced stiffness in the buckling of a one fiber composite

TL;DR

This paper investigates how slight matrix stiffness dependence on compression affects buckling in a single fiber composite, revealing a limit load phenomenon and potential for increased structural stability.

Contribution

It introduces the concept of compression-dependent matrix stiffness influencing buckling behavior and identifies a threshold for limit load emergence.

Findings

Limit load appears when stiffness parameter exceeds a threshold.

Limit load increases with the stiffness parameter.

Localized post-buckling paths are related to the limit load.

Abstract

We study the buckling of a one fiber composite whose matrix stiffness is slightly dependent on the compressive force. We show that the equilibrium curves of the system exhibit a limit load when the induced stiffness parameter gets bigger than a threshold. This limit load increases when increasing the stiffness parameter and is related to a possible localized path in the post-buckling domain. Such a change in the maximum load may be very desirable from a structural stand point.