Based on a general assumption for plastic potential and yield surface, some properties of the nonassociated plasticity are studied, and the existence and uniqueness of the distribution of incremental stress and displa...Based on a general assumption for plastic potential and yield surface, some properties of the nonassociated plasticity are studied, and the existence and uniqueness of the distribution of incremental stress and displacement for work-hardening materials are proved by using nonsymmetric Lax-Milgram lemma, when the work-hardening parameter展开更多
Whitney's lemma is an important theorem in local singularity theory of germs of C∞functions.In this paper, we are going to prove the global version of this lemma. Based on thisgenerailized theorem and the relevan...Whitney's lemma is an important theorem in local singularity theory of germs of C∞functions.In this paper, we are going to prove the global version of this lemma. Based on thisgenerailized theorem and the relevant conclusions in singularity theory, the plastic yield criterion is discussed in detail. We found that the most general form of the plastic yield criterionshould be f(J1,J2,J23 ) = 0.Obviously, this form is more precise than the form f(J1,J2,J3) = 0which is given in the usual literature. Finally, we shall also give some practical examples forexplanation.展开更多
文摘Based on a general assumption for plastic potential and yield surface, some properties of the nonassociated plasticity are studied, and the existence and uniqueness of the distribution of incremental stress and displacement for work-hardening materials are proved by using nonsymmetric Lax-Milgram lemma, when the work-hardening parameter
文摘Whitney's lemma is an important theorem in local singularity theory of germs of C∞functions.In this paper, we are going to prove the global version of this lemma. Based on thisgenerailized theorem and the relevant conclusions in singularity theory, the plastic yield criterion is discussed in detail. We found that the most general form of the plastic yield criterionshould be f(J1,J2,J23 ) = 0.Obviously, this form is more precise than the form f(J1,J2,J3) = 0which is given in the usual literature. Finally, we shall also give some practical examples forexplanation.
