In this work, at first, we modeled the bone first hierarchy structure made up of collagen fibril, and soft protein to evaluate the strength, and simulated the delamination pattern at the interface of the HAp, protein. We also analyzed a novel material structure inspired by the staggered structure of the bone at the first hierarchy level for its strength, and fracture behavior such as delamination at the interface. The soft matter considered is PLA polymer while the hard constituent is HAp. A commercial finite element analysis tool, ABAQUS 6.14 was used for the modeling purpose. The models were subjected to displacement controlled uniaxial tensile loading in a plane strain condition. The interfaces of the soft and hard constituents were modelled using cohesive surface modelling. Porous as well as non-porous models both were analyzed. The stress concentration was found to be higher in case of the porous model which is quite natural as the pores can be the points of stress concentration in comparison to the non-porous model. The delamination at the interface was correctly simulated by the use of cohesive surface elements. This study can be the first step towards novel material structure design mimicked from bone hierarchy.