Abstract
The thick level set (TLS) method has been proposed as a nonlocal damage model for the modeling of failure in solids being able to deal with crack initiation, branching, and merging. The nonlocality...
Highlights
The thick level set (TLS) method, first introduced by Mo\e"s et al [16], is a damage model that contains a nonlocal damage definition to prevent spurious strain localization
The TLS damage variable depends on the distance to the damage front as evaluated with the signed distance level set field and varies over a thick band of material with a predefined width according to a user-defined damage function
The TLS has been expanded in order to enhance its numerical implementation for quasi-static loading condition [3, 17], to deal with three-dimensional quasi-static problems [25] and dynamics [17], to couple with cohesive zone models [12], to treat fatigue crack growth [11], to improve the control of damage initiation and representation of free sliding in shear [30], and to couple damage with plasticity [18]
Summary
The thick level set (TLS) method, first introduced by Mo\e"s et al [16], is a damage model that contains a nonlocal damage definition to prevent spurious strain localization. Note that this is only possible as long as the continuity of \phi is guaranteed across the boundaries of subdomains, which ensures that all subdomains involved in this communication process share the same geometric location of the iso-lc on their overlapping regions. To parallelize the scheme with secant unloading (see Algorithm 2.7), C403 one additional Allreduce call is introduced in order to compute the maximum value of the load scale factor, which is needed for the nucleation check by all subdomains, as shown in Algorithm 2.4
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