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A numerical method for solving equilibrium problems of no-tension solids subjected to thermal loads. (English) Zbl 1004.74075

Summary: This paper starts out by recalling a constitutive equation of no-tension materials that accounts for thermal dilatation and temperature dependence of material parameters. Subsequently, a numerical method is presented for solving, via finite element method, equilibrium problems for no-tension solids subjected to thermal loads. Finally, three examples are discussed: a spherical container subjected to two uniform radial pressures and a steady temperature distribution, a masonry arch subjected to a uniform temperature distribution, and a converter used in the steel and iron industry.

MSC:

74S05 Finite element methods applied to problems in solid mechanics
74F05 Thermal effects in solid mechanics
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