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Metal forming research and analysis of a number of metric tensor

Very convenient. To this end, define an initial configuration described by the symmetric tensor - Kirchh0ff stress tensor S. Immediately in the structure of dp by Fdp rule change to the initial configuration, the surface force component at this time is set to dP, also similar to the definition of Euler stress methods: dP {I; a SJlNJdA (21) thirteen kinds of stress tensor can be mutually converted, the conversion relationship can be found in the literature [1]. Stress tensor to time material derivative,[link widoczny dla zalogowanych], is the stress tensor. ,[link widoczny dla zalogowanych], T, S corresponds to the stress tensor, respectively,[link widoczny dla zalogowanych], T, S, S has nothing to do with the rigid body rotation, and T are related to cut off the feet and body rotation, and therefore, in real time configuration for the reference configuration, we want to have a non- affected by the rigid body rotation of stress tensor, for the introduction of Jaumann stress rate tensor: one by one Ⅲ + (22) in the elastic-plastic large deformation finite element analysis, only with nothing to do with the rigid body rotation of the stress rate to write constitutive equation, in order to ensure and coordinate choice has nothing to do, which truly reflect the mechanical behavior. 5 plastic large deformation finite element analysis of the metric tensor on the two principles of metal forming the geometric nonlinearity contains two meanings]: one is linear between the displacement and strain; the other hand, deformation process contains a large rigid body rotation. Thus the metric tensor analysis with rigid body rotation is related to research in metal forming is very important. During the elastic-plastic large deformation finite element analysis, must follow two basic principles: First, the expression of the constitutive equation, the stress (rate), strain (rate) must be independent of rigid body rotation; the second is to construct a finite element equation , select the energy of the metric tensor conjugate pairs, such as and D,[link widoczny dla zalogowanych], T and FT, S and E is the conjugate stress and strain rate on the, where the stress and strain rate in a broad sense. Energy conjugate metric tensor on the choice of more than these three, all three are more commonly used. 1 Li-Dong Wang et al: metal forming research and analysis of some metric tensor 7 Reference 1 Kuangzhen Bang. The basis of nonlinear continuum mechanics,[link widoczny dla zalogowanych], Xi'an Jiaotong University Press. 1989.3238,67-71, ll3-1142Biot + M. A. MechanicsofIncrementalDeforma ~ on. Johnwiley & Sons, 1965, V_Vl3Simmonds, J. G. NonlinearShellTheorywithaFiniteRotationVeetor, Proc. Kon. Ned. AK. Wet. , SeliesB, l970 (73) ,460-4784Atluri. S. N. AlternatesttessandConjugateStrainMeasuresandMixedVartiormlFormulationsInvolv-ingRigidRotations, forComputationalAnalysesofFinitelyDeformedSolids-withApplicationtoPlatesandShell-ParthTheory, Comp. andStruct1984 (1 Cool

,93-1165 Guozhong Street. Nonlinear elasticity theory, Science Press; 1980,936 Chen Ruxin. Hu Zhongmin. Plastic finite element method and its application in metal forming. Chongqing University Press. 1989; l2O a 1287 King Zutang, Guan Ting Dong, Xiaojing pits and so on. Metal forming theory. Machine maple Industry Press, 1989; 422ANALYSIS0FACERTAINNUMBERoFTENSoRSINTHESTUDYoFMETALPLASTICF0RMINGWangLidongRuanXueyu (ShanghaiJiaotongUniversity200030) AbstractInthispaper, acertainnumberoftensorsinthestudyofmetalplasticformingareanalysed-andtheirCharacteristicsintheapplicationofFiniteElementMethodareemphasized. Keywordsmetalplasticforming, tensor

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