Least-squares finite strain hexahedral element/constitutive coupling based on parametrized configurations and the Löwdin frame

2016 ◽  
Vol 108 ◽  
pp. 96-109 ◽  
Author(s):  
P. Areias ◽  
C.A. Mota Soares ◽  
T. Rabczuk
Keyword(s):  
Least Squares ◽  
Finite Strain ◽  
Hexahedral Element

scholarly journals Finite strain quadrilateral shell using least-squares fit of relative Lagrangian in-plane strains

2015 ◽  
Vol 98 ◽  
pp. 26-40 ◽  
Author(s):  
P. Areias ◽  
T. Rabczuk ◽  
J.M. César de Sá ◽  
J.E. Garção
Keyword(s):  
Least Squares ◽  
Finite Strain ◽  
Least Squares Fit

An objective and path-independent 3D finite-strain beam with least-squares assumed-strain formulation

2019 ◽  
Vol 64 (4) ◽  
pp. 1115-1131
Author(s):  
P. Areias ◽  
M. Pires ◽  
N. Vu Bac ◽  
Timon Rabczuk
Keyword(s):  
Least Squares ◽  
Finite Strain ◽  
Assumed Strain ◽  
Strain Formulation

scholarly journals A finite-strain solid–shell using local Löwdin frames and least-squares strains

2016 ◽  
Vol 311 ◽  
pp. 112-133 ◽  
Author(s):  
P. Areias ◽  
C.A. Mota Soares ◽  
T. Rabczuk ◽  
J. Garção
Keyword(s):  
Least Squares ◽  
Finite Strain ◽  
Solid Shell

Extension of the Bergström-Boyce Model to High Strain Rates

2004 ◽  
Vol 77 (5) ◽  
pp. 972-981 ◽  
Author(s):  
S. J. Quintavalla ◽  
S. H. Johnson
Keyword(s):  
Least Squares ◽  
Finite Strain ◽  
High Strain ◽  
Nonlinear Least Squares ◽  
Material Behavior ◽  
Time Dependent ◽  
Strain Rates ◽  
High Strain Rates ◽  
Nonlinear Least Squares Estimation ◽  
Search Domain

Abstract A filled polybutadiene elastomer, typical of that used in the construction of golf balls, is tested at high (> 5000s−1) and low (< 0.5s−1) strain rates. By using nonlinear least-squares estimation, limited to a physically realizable search domain, suitable parameters are found for the Bergström-Boyce model of time dependent finite strain elasticity. These parameters are shown to successfully represent the material behavior over this broad range of strain rates.

A semi-implicit finite strain shell algorithm using in-plane strains based on least-squares

2015 ◽  
Vol 55 (4) ◽  
pp. 673-696 ◽  
Author(s):  
P. Areias ◽  
T. Rabczuk ◽  
J. César de Sá ◽  
R. Natal Jorge
Keyword(s):  
Least Squares ◽  
Finite Strain

A finite strain quadrilateral based on least-squares assumed strains

2015 ◽  
Vol 100 ◽  
pp. 1-16 ◽  
Author(s):  
P. Areias ◽  
T. Rabczuk ◽  
J. César de Sá
Keyword(s):  
Least Squares ◽  
Finite Strain
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