Abstract
Abstract In the last two chapters we have been considering problems to which exact solutions are known, and where full allowance can be made for the elastic component of strain in the plastic region. In many of the problems of greatest practical interest, however, we are compelled by mathematical difficulties to disregard the elastic component of strain. For consistency we must also disregard the purely elastic strain in the non plastic region. In effect, therefore, we work with a material that is rigid when stressed below the yield-point and in which Young’s modulus has an infinitely great value. This hypothetical solid may be referred to as a plastic-rigid material, in contrast to the plastic-elastic material of Reuss.
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