An approximate scheme for considering effects of microcrack interaction on the overall constitutive relation of brittle solids under complex loading

DOI10.1007/BF01170187zbMath0963.74047OpenAlexW2031807526MaRDI QIDQ1570858

N. Delaunay

Publication date: 18 June 2001

Published in: Acta Mechanica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01170187

zbMATH Keywords

Taylor modeleffective compliance tensorelastic modulicomplex loadingapproximate effective mediummicrocrack-weakened brittle materialsthree-dimensional micromechanical evolutionary damage model

Mathematics Subject Classification ID

Micromechanics of solids (74M25) Effective constitutive equations in solid mechanics (74Q15) Theories of fracture and damage (74A45) Brittle damage (74R05)

Related Items (4)

Kosterlitz-Thouless phase transitions on discretized random surfaces ⋮ Thermomechanical fracture behaviour of interacting microdefects in thermal barrier coatings ⋮ Virtual multi-dimensional internal bonds model and its application in simulation of rock mass ⋮ A NOVEL TRIANGULAR FINITE ELEMENT PARTITION METHOD FOR FRACTURE SIMULATION WITHOUT ENRICHMENT OF INTERPOLATION

Cites Work

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• Elastic moduli of a cracked solid
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• Overall moduli of solids with microcracks: load-induced anisotropy
• Damage mechanics: Accomplishments, trends and needs
• The theoretical connection between Mori-Tanaka's theory and the Hashin- Shtrikman-Walpole bounds
• The relationship between damage variables and their evolution laws and microstructural and physical properties
• Effective Elastic Moduli of Two-Dimensional Brittle Solids With Interacting Microcracks, Part I: Basic Formulations

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