Towards a one-parameter fracture model in soft matter mechanics (INVITED)

Abstract eng:
We present a simple one-parameter macroscopic model of distributed damage and fracture of soft matter that is amenable to a Wrward and efficient numerical implementation as introduced in [6]. The failure model is motivated by post-mortem fractographic observations of void nucleation, growth and coalescence in an elastomeric polymer stretched to failure, and accounts for the specific fracture energy per unit area attendant to rupture of the material. Furthermore, it is shown that the macroscopic model can be rigorously derived, in the sense of optimal scaling, from a micromechanical model of chain elasticity and failure regularized by means of fractional strain— gradient elasticity. In addition, the scope and fidelity of the model is demonstrated by means of an example of application, namely Taylor-impact experiments of polyurea rods. Hereby, optimal transportation meshfree approximation schemes using maximum-entropy interpolation functions are employed.

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