Multifield theories in mechanics of solids

By Paolo Maria Mariano. 2002

201 citations recorded by the source corpus.

Subfields: Biomedical Engineering, Materials Chemistry, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/b11d74d14d8a8ba576179d37b3a0e8e0d22a182f

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In Biomedical Engineering

In Materials Chemistry

In Mechanics of Materials

Citations in the corpus

A phase field model for rate-independent crack propagation: Robust algorithmic implementation based on operator splits (2010, methodology): “The proposed approach is embedded in the theory of gradient-type materials with a characteristic length scale, such as outlined in the general context by Capriz [22], Mariano [23] and Fremond [24].”
Phase Field Modeling of Fracture in Multi-Physics Problems. Part II. Coupled Brittle-to-Ductile Failure Criteria and Crack Propagation in Thermo-Elastic-Plastic Solids (2015, background): “This induces a multi-field treatment of continua with microstructure in the spirit of the works Capriz [33], Mariano [34] and Frémond [30].”
An introduction to computational nanomechanics and materials (2004, background): “The heterogeneous nature of engineering materials calls for a multi-field decomposition technique in modeling material deformation and failure [110–128].”
Phase‐field modeling of ductile fracture at finite strains: A robust variational‐based numerical implementation of a gradient‐extended theory by micromorphic regularization (2017, methodology): “The approach is embedded in the theory of gradient-extended continuum modeling, as outlined in the general context by Maugin [69], Capriz [70], Mariano [71], and Frémond [72].”
Thermodynamically consistent phase‐field models of fracture: Variational principles and multi‐field FE implementations (2010, methodology): “The proposed approach is embedded in the theory of gradient–type materials with a characteristic length scale, such as outlined in a very general context in Capriz [10], Mariano [24] and Fremond [15].”
Continuum phase field modeling of dynamic fracture: variational principles and staggered FE implementation (2012, background): “The proposed continuum formulations are embedded in the theory of gradient-extended dissipative solids with a characteristic length scale, such as outlined in a general context in Capriz (1989), Mariano (2001), Frémond (2002) and the recent work Miehe (2011) on its variational structure.”