TY - JOUR
T1 - A variational formulation with rigid-body constraints for finite elasticity
T2 - theory, finite element implementation, and applications
AU - Chi, Heng
AU - Lopez-Pamies, Oscar
AU - Paulino, Glaucio H.
N1 - Funding Information:
We acknowledge the support from the US National Science Foundation (NSF) through Grant CMMI #1559595 (formerly #1437535). The information presented in this paper is the sole opinion of the authors and does not necessarily reflect the views of the sponsoring agency.
Publisher Copyright:
© 2015, Springer-Verlag Berlin Heidelberg.
PY - 2016/2/1
Y1 - 2016/2/1
N2 - This paper presents a new variational principle in finite elastostatics applicable to arbitrary elastic solids that may contain constitutively rigid spatial domains (e.g., rigid inclusions). The basic idea consists in describing the constitutive rigid behavior of a given spatial domain as a set of kinematic constraints over the boundary of the domain. From a computational perspective, the proposed formulation is shown to reduce to a set of algebraic constraints that can be implemented efficiently in terms of both single-field and mixed finite elements of arbitrary order. For demonstration purposes, applications of the proposed rigid-body-constraint formulation are illustrated within the context of elastomers, reinforced with periodic and random distributions of rigid filler particles, undergoing finite deformations.
AB - This paper presents a new variational principle in finite elastostatics applicable to arbitrary elastic solids that may contain constitutively rigid spatial domains (e.g., rigid inclusions). The basic idea consists in describing the constitutive rigid behavior of a given spatial domain as a set of kinematic constraints over the boundary of the domain. From a computational perspective, the proposed formulation is shown to reduce to a set of algebraic constraints that can be implemented efficiently in terms of both single-field and mixed finite elements of arbitrary order. For demonstration purposes, applications of the proposed rigid-body-constraint formulation are illustrated within the context of elastomers, reinforced with periodic and random distributions of rigid filler particles, undergoing finite deformations.
KW - Constitutive constraints
KW - Finite elastostatics
KW - Rigid inclusions
KW - Variational principles
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U2 - 10.1007/s00466-015-1234-2
DO - 10.1007/s00466-015-1234-2
M3 - Article
AN - SCOPUS:84958678625
SN - 0178-7675
VL - 57
SP - 325
EP - 338
JO - Computational Mechanics
JF - Computational Mechanics
IS - 2
ER -