ISSN:
1082-5010
Keywords:
constitutive model
;
hypoplasticity
;
failure criterion
;
flow rule
;
dissipation function
;
Engineering
;
Civil and Mechanical Engineering
Source:
Wiley InterScience Backfile Collection 1832-2000
Topics:
Architecture, Civil Engineering, Surveying
,
Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
Notes:
Failure criterion, flow rule and dissipation function derived from a class of incrementally non-linear, so-called hypoplastic, constitutive equations are presented. Although the hypoplastic model is developed without recourse to some concepts pertinent to pasticity theory, such as failure surface, plastic potential, flow rule and decomposition of deformation into elastic and plastic parts, it is shown how these concepts may be obtained as natural outcomes of the constitutive model. A connection of the hypoplastic model to Truesdell's hypoelasticity theory and of the derived failure criterion and flow rule to their hypoelastic counterparts is made. By defining the plastic strain rate properly, the dissipation surface is obtained based on the principle of maximum entropy production. Furthermore, the plastic potential is constructed with reference to the direction of plastic strain rate. Finally, the failure surface, flow rule and dissipation surface obtained with a specific hypoplastic constitutive equation are presented and compared with experimental results in the literature.
Additional Material:
9 Ill.
Type of Medium:
Electronic Resource
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