On gradient enriched elasticity theories: A reply to "Comment on 'On non-singular crack fields in Helmholtz type enriched elasticity theories' " and important theoretical aspects

TL;DR

This paper defends the original work on non-singular crack fields in Helmholtz type enriched elasticity theories against criticism, clarifying key theoretical aspects of gradient enriched elasticity theories.

Contribution

It provides a clear rebuttal to the critique and discusses important theoretical aspects of gradient enriched elasticity theories.

Findings

The critique by Aifantis is refuted with straightforward arguments.

Key theoretical aspects of gradient enriched elasticity theories are clarified.

The paper emphasizes the importance of these theories in modeling crack fields.

Abstract

The Comment by Aifantis that criticizes the article 'On non-singular crack fields in Helmholtz type enriched elasticity theories' [Lazar, M., Polyzos, D., 2014. Int. J. Solids Struct. doi: 10.1016/j.ijsolstr.2014.01.002] is refuted by means of clear and straightforward arguments. Important theoretical aspects of gradient enriched elasticity theories which emerge in this work are also discussed.