Department;
of;
Applied;
Mechanics;
and;
Engineering,;
Zhongshan;
University,;
Guangzhou;
510275,;
China;
Department;
of;
Civil;
Engineering,;
Hong;
Kong;
University;
of;
Science;
and;
Technology,;
Hong;
Kong,;
China;
Department;
of;
Applied;
Mechanics;
and;
Engineering,;
Zhongshan;
University,;
Guangzhou;
510275,;
China;
Department;
of;
Applied;
Mechanics;
and;
Engineering,;
Zhongshan;
University,;
Guangzhou;
510275,;
China;
unconventional; Hamilton-type; variational; principle,; geometric; nonlinearity,; coupled; thermoelasto; dynamics,; dual-complementary; relation,; initial-; boundary-value; problem.;