TY - JOUR
T1 - Variational Principles Derived from the Matrix Structural Analysis Equations
AU - Fuchs, Moshe B.
PY - 1981
Y1 - 1981
N2 - A method for generating the conventional variational principles of elasticity is presented. The technique consists in writing scalar potentials for different forms of the analysis equations of a trussed structure. A straightforward transformation translates the potentials and their properties into analogue functional in the continuum domain. Various formulations of the Hu-Washizu, Hellinger-Reissner, Total Potential, and Complementary Energy variational principles are thus obtained.
AB - A method for generating the conventional variational principles of elasticity is presented. The technique consists in writing scalar potentials for different forms of the analysis equations of a trussed structure. A straightforward transformation translates the potentials and their properties into analogue functional in the continuum domain. Various formulations of the Hu-Washizu, Hellinger-Reissner, Total Potential, and Complementary Energy variational principles are thus obtained.
UR - http://www.scopus.com/inward/record.url?scp=0019679878&partnerID=8YFLogxK
U2 - 10.1080/03601218108907385
DO - 10.1080/03601218108907385
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AN - SCOPUS:0019679878
SN - 0360-1218
VL - 9
SP - 219
EP - 234
JO - Journal of Structural Mechanics
JF - Journal of Structural Mechanics
IS - 2
ER -