非对称的Lax-Milgram引理对非关联塑性的一个应用

An Application of Nonsymmetric Lax-Milgram Lemma to Nonassociated Plasticity

在塑性势和屈服面的广泛假设下,研究了非关联塑性的某些性质.对强化材料,通过使用非对称的Lax-Milgram引理,证明了当强化参数A>‖(?)F/(?)σ‖(?)Q/(?)σ‖-<(?)F/(?)σ,(?)Q/(?)σ>时,应力位移增量分布的存在唯一性.

Usually, in the study of elasto-plasticity, the assoiated plasticity, i. e. the plastic potential surface coincides with yield surface, is often used. However, in practical problems, there are many materials which do not obey the associated plastic flow rule. For instance, the mechanical behavior of rock, concrete, etc. must be described by the nonassociated flow rule when deformation occur. In this paper, by means of the nonsymmetric Lax-Milgram lemma, we shall discuss a series of important questions of the nonassociated plasticity in detail.