Closed-form solutions for uniaxial passive restraint experiments
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Uniaxially passive restraint experiments (for example, "cracking frames") provide enough information to extract useful viscoelastic constitutive properties when combined with free deformation and mass loss experiments (in the case of drying shrinkage). In this paper, analytical techniques are described for deriving a closed-form solution to extract the viscoelastic Young's modulus from solidifying concrete in a uniaxial passive restraint test. In addition, for the particular case where drying shrinkage is restrained in the test, approximate closed-form solutions are derived for the non-uniform internal relative humidity (RH), free drying shrinkage, and stress gradients. An example problem demonstrates the utility of the derived solutions.