Crack phase-field model equipped with plastic driving force and degrading fracture toughness for ductile fracture simulation

VI. The phenomena of rupture and flow in solids

Alan Arnold Griffith · Philosophical Transactions of the Royal Society of London Series A Containing Papers of a Mathematical or Physical Character · 1921 · 10.6K citations · Full text

Engineering, Materials Engineering, Materials Science +13

Continuum Theory of Ductile Rupture by Void Nucleation and Growth: Part I—Yield Criteria and Flow Rules for Porous Ductile Media

A.L. Gurson · Journal of Engineering Materials and Technology · 1977 · 6.6K citations

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A finite element method for crack growth without remeshing

Nicolas Mo�s, John E. Dolbow, Ted Belytschko · International Journal for Numerical Methods in Engineering · 1999 · 6.2K citations · Full text

Engineering, Computational Engineering, Mechanical Engineering +17

Optimal approximations by piecewise smooth functions and associated variational problems

David Mumford, Jayant Shah · Communications on Pure and Applied Mathematics · 1989 · 5.2K citations · Full text

Natural Sciences, Computational Engineering, Computational Mechanics +13

Analysis of the cup-cone fracture in a round tensile bar

Viggo Tvergaard, A. Needleman · Acta Metallurgica · 1984 · 3.4K citations

Engineering, Materials Engineering, Materials Science +14