Studies on effect of failure modes on mechanical properties of staggered composites.

Biological materials such as bone, nacre, antler, and teeth are gifted with excellent mechanical properties that have inspired synthetic composites' development. These superior properties are attributed to the geometrical as well as the material properties of the constituents at a small scale. This paper is focused on the influence of failure modes over the mechanical properties including stiffness, strength, and toughness, after the failure of different interfaces in staggered bio-inspired structures such as regular and stairwise staggered arrangements where stiff platelets are embedded in a pliant matrix. In order to find these properties, a novel analytical model for stress transfer and effective Young's modulus of a stairwise staggered composite is developed based on composite micro-mechanics principles in this article. The results indicate that the failure sequence indeed influences mechanical characteristics such as the stiffness, strength, and toughness. Also, the results from the present study is capable of quantifying the major contribution of toughness that is obtained from the vertical interface failure, which is ignored in previous studies for estimating the toughness. The results indicate that a toughness contribution as high as 56% from the inclusion of the first failure can be obtained in a stairwise staggered composite. The influence of significant parameters like Young's moduli ratio between the platelet and matrix (Ep/Em) over the strength at different modes of failure showed that the strength at first and second failures increases as the Ep/Em ratio increases. The findings of this study hold significant potential for predicting the failure sequences with their quantified contributions towards the mechanical properties of a bio-inspired staggered composite. .