Addressing the effects of material non-linearities on wellbore stresses using stress- and strain-dependent elastic moduli
Abstract
Two elastic constitutive models accounting for pre-peak non-linear (NL) effects are formulated and applied to deformation analysis around circular openings in rock. These models present extension of the constitutive equations of linear elasticity (LE) to NL materials obtained by replacing classic elastic moduli K o (bulk modulus), and G o (shear modulus) of linear elasticity with stress- or strain-dependent functions introduced in a form of power series. Model parameters are identified from uniaxial compression tests, and a numerical examples showing linear and NL stress distributions in a hollow cylinder are presented.
Fields of Study & Subjects
Elasticity and Material Modeling
Fatigue and fracture mechanics
Ultrasonics and Acoustic Wave Propagation
Publication details
- Journal / source
- Rock Mechanics
- Publisher
- CRC Press
- Pages
- 819–824
- Publication date
- 18 February 2026
- Language
- EN
- Document type
- Book chapter