Abstract
By using a Bernoulli-Euler type beam theory, a simple solution is obtained for the general problem of the thermoelastic pure bending of nonhomogeneous prismatic bars. Within this framework, the elastic modulus and temperature distributions can vary arbitrarily over the bar cross-section, and the elastic modulus and thermal expansion coefficients can be temperature dependent. The analysis is valid for time-dependent temperature variations and can therefore be used for analyzing warping and residual stresses induced by transient temperature fields. An analysis of a bi-material channel-sectioned beam is used to show that the addition of ribs significantly reduces the thermoelastically induced warping in bimaterial strips caused by temperature excursions. It is shown that thermoelastic warping in a three-layer tri-material strip cannot be reduced by using a middle layer with an elastic modulus much lower than the modulus of the surrounding layers.
Published Version
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