Lack-of-contact conditions for a penny-shaped crack under a polynomial normal loading

DOI10.1007/BF01181051zbMath0946.74052OpenAlexW2331421136MaRDI QIDQ671211

Juan-Miguel Gracia

Publication date: 27 February 1997

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

Full work available at URL: https://doi.org/10.1007/bf01181051

zbMATH Keywords

penny-shaped crackaxial symmetrycylindrical algebraic decompositionlow-degree polynomial loadingspolynomial normal loadingpositivity of crack opening displacementquantifier elimination techniques

Mathematics Subject Classification ID

Brittle fracture (74R10)

Related Items (2)

Application of quantifier elimination to inverse buckling problems ⋮ Classical numerical methods in engineering: a note on existential quantifier elimination under parametric inequality constraints

Uses Software

• Maple
• QEPCAD

Cites Work

• Partial cylindrical algebraic decomposition for quantifier elimination
• The boundary integral approach to static and dynamic contact problems: equality and inequality methods
• A crack along the interface of a circular inclusion embedded in an infinite solid
• Penny-shaped cracks
• Inequality constraints in one-dimensional finite elements for an elastic beam on a tensionless Winkler foundation
• Application of quantifier elimination to a simple elastic beam finite element below a straight rigid obstacle
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