TY - JOUR
T1 - A facile, robust and versatile finite element implementation to study the time-dependent behaviors of responsive gels
AU - Wang, Xu
AU - Zhai, Zirui
AU - Chen, Yuli
AU - Jiang, Hanqing
N1 - Funding Information:
The work at ASU is financially support by the National Science Foundation CMMI 1462481 . The work at Beihang is supported by the National Natural Science Foundation of China (Nos. 11622214 and 11472027 ).
Publisher Copyright:
© 2018
PY - 2018/7
Y1 - 2018/7
N2 - Though there are significant efforts to develop numerical platforms to simulate the dynamic behaviors of responsive gels, several challenges were not successfully resolved, including truly robust method to handle time-dependent and coupled mass diffusion and deformation fields particularly at very short-time and complicated instability. In this Letter, a facile, robust and versatile finite element method was developed to resolve these challenges by adopting ramping boundary conditions, viscous damping, and damped Newton–Raphson method. This method can be readily implemented in a commercial platform COMSOL Multiphysics. The finite element method was showcased to study several dynamic examples that possess very short-time surface wrinkles, wrinkle evolutions, and incorporation with other physics field. Given the fact that the implementation is through a commercial platform, this method can have significant contributions to the studies of gels.
AB - Though there are significant efforts to develop numerical platforms to simulate the dynamic behaviors of responsive gels, several challenges were not successfully resolved, including truly robust method to handle time-dependent and coupled mass diffusion and deformation fields particularly at very short-time and complicated instability. In this Letter, a facile, robust and versatile finite element method was developed to resolve these challenges by adopting ramping boundary conditions, viscous damping, and damped Newton–Raphson method. This method can be readily implemented in a commercial platform COMSOL Multiphysics. The finite element method was showcased to study several dynamic examples that possess very short-time surface wrinkles, wrinkle evolutions, and incorporation with other physics field. Given the fact that the implementation is through a commercial platform, this method can have significant contributions to the studies of gels.
KW - Finite element methods
KW - Gel
KW - Transient
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U2 - 10.1016/j.eml.2018.05.007
DO - 10.1016/j.eml.2018.05.007
M3 - Article
AN - SCOPUS:85048142208
SN - 2352-4316
VL - 22
SP - 89
EP - 97
JO - Extreme Mechanics Letters
JF - Extreme Mechanics Letters
ER -