Kinetics of phase transformations in the peridynamic formulation of continuum mechanics

By Kaushik Dayal, Kaushik Bhattacharya. 2006

162 citations recorded by the source corpus.

Subfields: Civil and Structural Engineering, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/95c5aa72712f4ceb9c64473cf2d43f6daadbddce

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In Civil and Structural Engineering

In Mechanics of Materials

Citations in the corpus

A peridynamic formulation for transient heat conduction in bodies with evolving discontinuities (2012, background): “The mechanical peridynamic theory ([78], [82]) has been successfully applied to model brittle fracture ([79], [80], [62], [71]), rupture of membranes and nanofiber networks ([81], [10]), spallation [95], damage in composite materials and polycrystalline ceramics ([96], [5]), phase transformations [3”
An extended constitutive correspondence formulation of peridynamics based on nonlinear bond-strain measures (2014, background): “A key feature of peridynamics is the ability to naturally describe discontinuities such as cracks [2, 3, 4, 5, 6, 7] and phase transition boundaries [8] within a single continuum framework.”
Peridynamic Theory of Solid Mechanics (2010, methodology): “Dayal and Bhattacharya [16] developed a peridynamic material model designed to reproduce martensitic phase transformations.”
Convergence of Peridynamics to Classical Elasticity Theory (2008, background): “In addition to being consistent with this jump condition, the peridynamic model has been proposed as a framework in which to investigate the structure and energy balance in interfaces such as phase boundaries [30].”
On the well-posedness of the linear peridynamic model and its convergence towards the Navier equation of linear elasticity (2007, background): “Different aspects of the peridynamic model such as its theoretical substantiation, its numerical approximation, and its application has been studied in Bobaru et al. [7, 8], Dayal & Bhattacharya [12], Emmrich & Weckner [13, 14, 15], Gerstle et al. [19, 20], Silling [31], Silling & Askari [33, 32], S”
An improved peridynamic approach for quasi-static elastic deformation and brittle fracture analysis (2015, methodology): “At the micro- and nano-scales, the bond-based PD method has also been utilized to analyze various problems such as phase transformation [19] and the mechanical behavior of nano-scale materials and structures [20,21].”
Phase-field modeling of crack propagation in piezoelectric and ferroelectric materials with different electromechanical crack conditions (2012, background): “On the other hand, the peridynamic approach (Silling, 2000; Dayal and Bhattacharya, 2006) can be viewed as an alternative to the phase-field approach, smearing sharp discontinuities.”