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Publications [#268230] of Henry Petroski

Papers Published

  1. Petroski, HJ, Thermomechanical states with controllable invariant relations, Archive for Rational Mechanics and Analysis, vol. 56 no. 4 (December, 1974), pp. 294-309, Springer Nature, ISSN 0003-9527 [doi]
    (last updated on 2023/06/01)

    Abstract:
    Constitutive information derived from experiments based on controllable states of elastic heat conductors may be applied to the study of certain problems in non-linear thermoelasticity. Thermomechanical states involving large deformations possessing non-constant strain invariants and general temperature fields that are associated with the same incomplete controllable-state data are derived and it is found that various combinations of bending, inflating, extending, and straightening of blocks and annular wedges, coupled with temperature gradients in various directions, and the inflation of spherical shells, with radial heating, involve invariant combinations of strain and temperature gradients that are related in exactly the same way as those of the controllable states. Therefore, these associated states may be analyzed to varying degrees with the partial constitutive data derived from controllable states to determine their possibility or to calculate the body force and heat generation fields necessary to effect them in given thermoelastic materials

    Keywords:
    deformation;thermoelasticity;


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