The satisfaction of the reciprocity condition of the equivalent stiffness matrix in laminated structures composed of anisotropic layers through static equilibrium, Hooke law, and perfect bonding conditions

arXiv:2512.11992v1 Announce Type: new
Abstract: In this study, it is analytically demonstrated how the stiffness matrix of a laminated structure composed of anisotropic layers satisfies the reciprocity condition solely based on the mandatory requirements imposed by static equilibrium, Hooke law, and perfect bonding between layers. The material properties of the equivalent volume are expressed as weighted sums of the individual layer properties. No additional assumptions, energy principles, or supplementary hypotheses are employed in this process.

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