An updated-Lagrangian damage mechanics formulation for modeling the creeping flow and fracture of ice sheets

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• 作者：Stephen Jimé ; nez^a ; Ravindra Duddu^a ; ^{ravindra.duddu@vanderbilt.edu} ; Jeremy Bassis^b
• 关键词：Stokes flow ; Ice mechanics ; Nonlocal damage ; Galerkin mixed finite element ; Creep fracture ; Viscoelasticity
• 刊名：Computer Methods in Applied Mechanics and Engineering
• 出版年：2017
• 出版时间：1 January 2017
• 年：2017
• 卷：313
• 期：Complete
• 页码：406-432
• 全文大小：1144 K
• 卷排序：313

文摘

The updated-Lagrangian damage mechanics formulation is appropriate for ice sheet fracture simulation over long time scales. The nonlinear Stokes flow model is consistent with the Maxwell viscoelastic model over short time scales of crevasse propagation. The mixed P3–P1 and P2–P1 finite elements are both stable and predict the same crevasse growth rates. Explicit-integral and implicit-gradient nonlocal damage approaches are equivalent and alleviate mesh sensitivity. The damage control strategy using the discontinuous function ψ(D)ψ(D) is a viable alternative to the element removal procedure.