An Anisotropic Hyperelastic Constitutive Model with Bending Stiffness Interaction for Cord-Rubber Composites: Comparison of Simulation Results with Experimental Data

Table 1

Invariants in the three-dimensional isotropic and hemitropic irreducible function bases of A_i, W_P, and V_rn [12].

Agencies	Isotropy	Hemitropy
A		tr A, tr A^2, tr A^3
A, B		tr AB, tr A^2B, tr AB^2, tr A^2B^2
A, B, C		tr ABC
W		tr W^2
A, W		tr AW^2, tr A^2W^2, tr A^2W^2AW
A, B, W		tr ABW, tr A^2BW, tr AB^2W, tr AW^2BW
W, V		tr WV
A W, V		tr AWV, tr AW^2V, tr AW V^2
W, V, U		tr WVU
V	·	·
A,	· A,  · A^2	· A,  · A^2, [, A, A^2]
A, B,	· Ab	· ε [AB],  · ε[A^2B],  · ε [AB^2], [, , A, B]
W,	· W^2	· ε [W]
A, W,	· Aw,  · A^2W,  · WAW^2	· AW,  · ε [AW],  · ε [AW^2]
W, V,	· WV,  · W^2V,  · WV^2	· ε [WV]
, u	· u	· u
A, , u	· Au,  · A^2u	· Au, [, u, Av], [, u, Au]
A, B, , u	· (AB − BA) u
W, , u	· Wu,  · W^2u	· Wu
A, W, , u	· (AW + WA) u
W, V, , u	· (WV − VW) u
, u,		[, u, ]