A second gradient theoretical framework for hierarchical multiscale modeling of materials
Journal Article
·
· International Journal of Plasticity
OSTI ID:971270
- Los Alamos National Laboratory
- GEORGIA TECH
A theoretical framework for the hierarchical multiscale modeling of inelastic response of heterogeneous materials has been presented. Within this multiscale framework, the second gradient is used as a non local kinematic link between the response of a material point at the coarse scale and the response of a neighborhood of material points at the fine scale. Kinematic consistency between these scales results in specific requirements for constraints on the fluctuation field. The wryness tensor serves as a second-order measure of strain. The nature of the second-order strain induces anti-symmetry in the first order stress at the coarse scale. The multiscale ISV constitutive theory is couched in the coarse scale intermediate configuration, from which an important new concept in scale transitions emerges, namely scale invariance of dissipation. Finally, a strategy for developing meaningful kinematic ISVs and the proper free energy functions and evolution kinetics is presented.
- Research Organization:
- Los Alamos National Laboratory (LANL)
- Sponsoring Organization:
- DOE
- DOE Contract Number:
- AC52-06NA25396
- OSTI ID:
- 971270
- Report Number(s):
- LA-UR-09-06310; LA-UR-09-6310
- Journal Information:
- International Journal of Plasticity, Journal Name: International Journal of Plasticity
- Country of Publication:
- United States
- Language:
- English
Similar Records
A hierarchical framework for the multiscale modeling of microstructure evolution in heterogeneous materials.
Influence of the course boundary value problem on length scale parmeters for second-gradient continuum theories
Multiscale Thermomechanical Damage Model with Internal State Variables for Ceramic Matrix Composites
Technical Report
·
Thu Apr 01 00:00:00 EDT 2010
·
OSTI ID:983909
Influence of the course boundary value problem on length scale parmeters for second-gradient continuum theories
Conference
·
Sun Dec 19 23:00:00 EST 2010
·
OSTI ID:1044900
Multiscale Thermomechanical Damage Model with Internal State Variables for Ceramic Matrix Composites
Conference
·
Sat Jan 04 23:00:00 EST 2020
· AIAA Scitech 2020 Forum
·
OSTI ID:2395950