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The Drucker–Prager yield criterion〔Drucker, D. C. and Prager, W. (1952). ''Soil mechanics and plastic analysis for limit design''. Quarterly of Applied Mathematics, vol. 10, no. 2, pp. 157–165.〕 is a pressure-dependent model for determining whether a material has failed or undergone plastic yielding. The criterion was introduced to deal with the plastic deformation of soils. It and its many variants have been applied to rock, concrete, polymers, foams, and other pressure-dependent materials. The Drucker–Prager yield criterion has the form : where is the first invariant of the Cauchy stress and is the second invariant of the deviatoric part of the Cauchy stress. The constants are determined from experiments. In terms of the equivalent stress (or von Mises stress) and the hydrostatic (or mean) stress, the Drucker–Prager criterion can be expressed as : where is the equivalent stress, is the hydrostatic stress, and are material constants. The Drucker–Prager yield criterion expressed in Haigh–Westergaard coordinates is : The Drucker–Prager yield surface is a smooth version of the Mohr–Coulomb yield surface. == Expressions for A and B == The Drucker–Prager model can be written in terms of the principal stresses as : If is the yield stress in uniaxial tension, the Drucker–Prager criterion implies : 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Drucker–Prager yield criterion」の詳細全文を読む スポンサード リンク
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