An anisotropic inelastic constitutive model to describe stress softening and permanent deformation in arterial tissue

Abstract

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A microstructurally inspired damage model for early venous thrombus

“…First, we considered the Simo model, a continuous damage approach employing the concept of equivalent stress [35, 36, 37]. Second, we considered the Ogden model, which employs the concept of pseudoelasticity [38, 39, 40, 41].…”

Fatigue Damage of Collagenous Tissues: Experiment, Modeling and Simulation Studies

“…While Francsechini et al ., 4 Maher et al . 6,106 and Martin and Sun 104 used the pseudo-elasticity theory of Dorfmann and Ogden 101 to describe the permanent set of brain, arterial, and GLBP tissue respectively. Maher et al .…”

“…Maher et al . 106 presented a tissue damage constitutive model with distinct softening and permanent set definitions in the matrix and fibers, while many other tissue damage models only considered permanent set in the fibrous components. 5,103 Maher and Early 107 found that the artery undergoes more significant permanent deformations in the radial direction, thus supporting the inclusion of a non-collagenous matrix permanent set defnition.…”

“…The magnitudes of the inelastic stresses are dependent on the maximum strain invariant values throughout loading, and thus the permanent sets evolve similar to the softening term, only when the maximum strain is exceeded. 106 …”

Validation of an Empirical Damage Model for Aging and in Vivo Injury of the Murine Patellar Tendon

“…Previous studies have proposed a variety of models to describe damage in tendon and other materials [11][12][13][14][15][16][17][18]. For example, a model described by Lemaitre [12] assumes that damage-induced structural discontinuities cause a reduction in the effective resisting area of a stretched material [12].…”