TY - JOUR
T1 - Space-time partial hybrid stress element for linear elastodynamic analysis of anisotropic materials
AU - Jing, Hung Sying
PY - 1991
Y1 - 1991
N2 - The variational basis and finite-element implementation for the space-time partial hybrid stress element is presented in this paper. Through convolution integration and dividing the six stress components into flexural (σx, σy, σz, τxy) and transverse shear (τxz, τyz) parts, the Hellinger-Reissner functional or the total potential energy functional can be modified as the basis for constructing the space-time partial hybrid stress element. By assuming Hermitian interpolation functions in time, displacement field for flexural stresses, and hybrid stress for transverse shear, the space-time partial hybrid stress element can be established for linear elastodynamic analysis consistently without any contradiction.
AB - The variational basis and finite-element implementation for the space-time partial hybrid stress element is presented in this paper. Through convolution integration and dividing the six stress components into flexural (σx, σy, σz, τxy) and transverse shear (τxz, τyz) parts, the Hellinger-Reissner functional or the total potential energy functional can be modified as the basis for constructing the space-time partial hybrid stress element. By assuming Hermitian interpolation functions in time, displacement field for flexural stresses, and hybrid stress for transverse shear, the space-time partial hybrid stress element can be established for linear elastodynamic analysis consistently without any contradiction.
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U2 - 10.1002/cnm.1630070107
DO - 10.1002/cnm.1630070107
M3 - Article
AN - SCOPUS:0025885858
SN - 0748-8025
VL - 7
SP - 39
EP - 45
JO - Communications in Applied Numerical Methods
JF - Communications in Applied Numerical Methods
IS - 1
ER -