Time continuity in cohesive finite element modeling

By Katerina D. Papoulia, C. Sam, Stephen A. Vavasis. 2003

146 citations recorded by the source corpus.

Subfields: Computational Theory and Mathematics, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/75d8ef476d0070c5f43dae261ea4f2b67e0a3698

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In Computational Theory and Mathematics

In Mechanics of Materials

Citations in the corpus

A cohesive segments method for the simulation of crack growth (2003, unknown): “As a consequence, numerical anomalies, such as stress oscillations at the interface [28] or spurious stress wave reflections are avoided, but other anomalies may be introduced in dynamic problems [12, 13].”
Cracking node method for dynamic fracture with finite elements (2009, unknown): “[27, 28] have also pointed out that errors occur due to the lack of continuity when cohesive laws are injected; this issue must also be considered in the use of XFEM with cohesive traction laws.”
On three-dimensional modelling of crack growth using partition of unity methods (2010, background): “Besides, certain issues related to time and traction continuity still remain [110] in the context of inter-element-separation models.”
Computational homogenization for adhesive and cohesive failure in quasi‐brittle solids (2010, methodology): “This initial state is obtained by solving the microscale model for the traction obtained from the macroscale violation criterion, thereby satisfying tractioncontinuitiy conditions [23].”
Modeling 3D crack propagation in unreinforced concrete using PUFEM (2005, unknown): “Problems regarding time continuity of initially rigid damage models may lead to oscillatory behavior, non-convergence in time and dependence on nonphysical regularization parameters [41].”
The cohesive element approach to dynamic fragmentation: the question of energy convergence (2007, unknown): “[29].”
Spatial convergence of crack nucleation using a cohesive finite‐element model on a pinwheel‐based mesh (2006, background): “We call this type of model initially rigid or simply rigid [25] (also called extrinsic [26]).”
Homogenization-based multiscale crack modelling: from micro diffusive damage to macro cracks (2011, background): “0, as proposed by [17], ensures that the time continuity condition [33] is fulfilled (thus enhance the robustness of the crack growth algorithm) and more importantly the solution procedure for the micro models will not diverge.”
Element‐local level set method for three‐dimensional dynamic crack growth (2009, background): “where G f is the fracture energy, max is set to the traction across the crack at the time of fracture to ensure the time continuity for the cohesive crack model [35].”
The simulation of dynamic crack propagation using the cohesive segments method (2008, background): “No effects of overshoot are seen and stress continuity appears to occur (Papoulia et al., 2003).”
Cohesive zone modeling of dynamic failure in homogeneous and functionally graded materials (2005, background): “Papoulia and Vavasis [33] pointed out that in numerical applications, “initial rigidÔ models result in time discontinuous behavior if no special provision is made.”
Extrinsic cohesive modelling of dynamic fracture and microbranching instability in brittle materials (2007, background): “However, depending on implementation, the extrinsic model may lead to time-discontinuous numerical results [34].”
Simulations of instability in dynamic fracture by the cracking particles method (2009, unknown): “Unless smax is equal to the traction at failure, the cohesive traction does not satisfy time continuity and may lead to substantial noise; see [36].”