Simple shear endochronic eqiations for finite plastic deformation     

JlANG Wugui  FU Mingfu  CHEN Liangsen  GENG Shiqi 《重庆大学学报(英文版)》2004,3(1)

The endochronic equations proposed by Valanis (1980) were extended to a finite deformation range. Jaumann's rate,Fu's rate and Wu's rate were incorporated into the endochronic equations to analyze simple shear finite deformation. Incremental equations and numerical solutions are deduced for three endochronic objective models. The results show that an oscillatory shear stress response to a monotonically increasing shear strain occurs when the Jaumann's rate objective model is employed for endochronic materials. The oscillatory response is dependent on the adopted objective rate. Compared with the Jaumann's rate, the Fu's rate and the Wu's rate satisfy the restrictions to elastic-plastic constitutive relations and are in agreement with the experimental results.  相似文献   

Simple shear endochronic equations for finite plastic deformation     

JIANG Wugui  FU Mingfu  CHEN Liangsen  GENG Shiqi Department of Materials Science  Engineering  Nanchang Institute of Aeronautical Technology  Nanchang  Jiangxi  P.R. China Institute of Engineering Mechanics  Nanchang University  Nanchang  Jiang 《重庆大学学报(英文版)》2004,3(1):78-81

~~6.ConclusionsJaumannsrate,FusrateandWusratewereincorporatedintotheendochronicequationstoanalyzesimpleshearfinitedeformation.Incrementalequationsandnumericalsolutionsarepresentedforthreeendo-chronicobjectivemodels.TheresultsshowthatanoscillatoryshearstressresponsetoamonotonicallyincreasingshearstrainoccurswhentheJaumannsrateobjectivemodelisemployedforendochronicmaterials.Theoscillatoryresponseisdependentontheadoptedobjectiverate.ComparedwiththeJaumannsrate,theFusrateandtheWusratesatisfythe…  相似文献