A gauge theory of damage

DOI10.1016/0020-7225(91)90064-AzbMath0734.73067OpenAlexW2040594182MaRDI QIDQ811210

Dimitris C. Lagoudas

Publication date: 1991

Published in: International Journal of Engineering Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0020-7225(91)90064-a

zbMATH Keywords

microcrackingdefectsfield equationsminimal couplinginternal state variable theorytotal Lagrangianbroken global translational symmetriesgauge principle of minimal replacementgeneral anisotropic effective mediumone- dimensional solidquasi-static loading cycle

Mathematics Subject Classification ID

Anisotropy in solid mechanics (74E10) Crystalline structure (74E15) Micromechanics of solids (74M25) Fracture and damage (74R99) Applications of Lie groups to the sciences; explicit representations (22E70) Micromechanical theories (74A60)

Related Items (4)

A thermodynamic theory of localized deformation based on the operator principle ⋮ Finite element implementation of the gauge theory of damage ⋮ A new framework in nonlocal mechanics ⋮ A gauge theory of relaxing elastic materials containing dislocations

Cites Work

• Matching the inner and outer solutions in the continuum theory of dislocations
• A thermomechanical constitutive theory for elastic composites with distributed damage. I. Theoretical development. II. Application to matrix cracking in laminated composites
• Material and spatial gauge theories of solids. I: Gauge constructs, geometry, and kinematics
• Creep Constitutive Equations for Damaged Materials
• A continuum mechanics characterization of damage in composite materials

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