Viscoplasticity using peridynamics

By John T. Foster, Stewart A. Silling, Wayne W. Chen. 2010

309 citations recorded by the source corpus.

Subfields: Electrical and Electronic Engineering, Mechanics of Materials, Ocean Engineering

View Paper: https://www.semanticscholar.org/paper/c10c491eeba4c8e53704eb156f217a5d655976b7

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In Electrical and Electronic Engineering

In Mechanics of Materials

In Ocean Engineering

Citations in the corpus

Peridynamics simulations of geomaterial fragmentation by impulse loads (2015, methodology): “State-based peridynamics has proven successful in simulating fracture processes of solids: [15] simulated the fracture of linear elastic and elastoplastic materials; [16] tested the deformation of a viscoplastic bar under impact; [17] implemented a state-based viscoelastic peridynamics model; and [2”
Non-ordinary state-based peridynamic analysis of stationary crack problems (2014, background): “Past NOSB studies [20,17] assumed the influence function to be constant within the horizon, resulting in a discontinuity at d.”
A non-ordinary state-based peridynamics formulation for thermoplastic fracture (2016, methodology): “The unrotated deformation rate of tensor d is used in the JC constitutive model to calculate the unrotated Cauchy stress, τ (for more details see [23] and Fig.”
A peridynamics formulation for quasi-static fracture and contact in rock (2017, background): “In order to determine the rock fracturetoughness for example, the Brazilian splitting test is commonly adopted (Guo et al., 1993).”
A coupled thermo-mechanical bond-based peridynamics for simulating thermal cracking in rocks (2018, background): “Another advantage of the peridynamic theory is that the resulting equations of motion are naturally discretized using particlebasedmethods (Foster et al. 2010).”
ON THE ROLE OF THE INFLUENCE FUNCTION IN THE PERIDYNAMIC THEORY (2011, background): “This particular use of Boolean-valued influence functions was presented in Foster et al. (2010).”
A force-based coupling scheme for peridynamics and classical elasticity (2013, unknown): “edu, Ph: + 1 (512) 475-8629, Fax: + 1 (512) 471-8694 (Serge Prudhomme) propagation and crack branching [18], viscoplasticity [17], polycrystal fracture [2], wave propagation [35], etc.”
Meshfree Methods: Progress Made after 20 Years (2017, unknown): “Recently, plasticity, viscoplasticity, and continuum damage mechanics have been incorporated in this context (Foster et al. 2010; Tupek et al. 2013; Warren et al. 2009).”
Dual-horizon peridynamics: A stable solution to varying horizons (2017, methodology): “NOSB-PD is capable of simulating the material with advanced constitute models, e.g. viscoplasticity model [20], the Drucker–Prager plasticity model [10] and Johnson–Cook (JC) constitutive model [21].”