Micromechanics based second gradient continuum theory for shear band modeling in cohesive granular materials following damage elasticity
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"Micromechanics based second gradien..." refers background or methods in this paper
...To this end, we develop the numerical implementation using the Element Free Galerkin (EFG) method (Belytschko et al., 1994a,b; Liu and Gu, 2005) in which approximation functions can readily satisfy the higher-order of continuity requirements....
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...…problems in solid mechanics, for instance, static and dynamic crack growth modeling (Krysl and Belytschko, 1997, 1999; Belytschko and Tabbara, 1996; Belytschko et al., 1994a,b, 1995a,b (see also other articles coauthored by Belytschko); Lu et al., 1994; Zhang and Gao, 2010), and plate bending…...
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...A detailed description of EFG method can be found in the references (Belytschko et al., 1994a; Liu and Gu, 2005)....
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3,644 citations
"Micromechanics based second gradien..." refers background in this paper
...…the unloading and hysteretic phenomena then the introduction of dissipation potential will be necessary (see for example, the approach discussed in Lemaitre and Chaboche (1990)– section 7.3.2 page 399 and section 7.5 page 435, for thermodynamic formulations of damage and coupled damage-plasticity…...
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2,332 citations
"Micromechanics based second gradien..." refers methods in this paper
...Mesh directional bias would be smeared if some true meshfree method were used, such as the modified meshfree local Petrov–Galerkin (MLPG) method presented by Atluri and Zhu (1998)....
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1,775 citations
"Micromechanics based second gradien..." refers background in this paper
...(3) The micropolar theory which considers an additional material rotational degree of freedom independent from the displacement field (Chang and Ma, 1990; Fleck and Hutchinson, 1997; Steinmann, 1994; Su, 1994; Chang et al., 2002a,b)....
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