In the present work, an elastoplastic-damage model fully coupled with the constitutive equations of the non-associated plasticity is developed, to enrich the existing research results on the non-associated plasticity finite element models. The yield function and the plastic potential are represented independently by two different (Hill, 1948) quadratic functions to describe the anisotropic behavior of 5083-aluminium alloy. The current model develops a first attempt to establish a general formulation with two ductile degradation functions, one for elasticity and the other for plasticity, with variable degradation coefficients. Further, the elastoplastic behavior of 5083-aluminium alloy is determined through uniaxial tensile tests, so that the anisotropic, the isotropic hardening and the damage parameters are acquired. Experimental-numerical confrontation proves the reliability of the current formulation to describe the behavior of 5083-aluminium alloy with good accuracy. Furthermore, a novel numerical optimization procedure is firstly used to analytically identify Lemaître damage parameters in order to limit the non-unicity of these parameters. The adopted optimization procedure offers a compromise between good accuracy and low computational time to determine the damage parameters.

在目前的工作中，开发了一种与非关联塑性本构方程完全耦合的弹塑性损伤模型，以丰富非关联塑性有限元模型的现有研究成果。屈服函数和塑性势由两个不同的 (Hill, 1948) 二次函数独立表示，以描述 5083 铝合金的各向异性行为。当前模型首次尝试建立具有两个延性退化函数的通用公式，一个用于弹性，另一个用于塑性，具有可变退化系数。此外，通过单轴拉伸试验确定了5083-铝合金的弹塑性行为，从而获得了各向异性、各向同性硬化和损伤参数。实验-数值对抗证明了当前公式的可靠性，可以准确地描述 5083 铝合金的行为。此外，首先使用一种新颖的数值优化程序来分析识别 Lemaître 损伤参数，以限制这些参数的非唯一性。所采用的优化程序在良好的精度和低计算时间之间提供了折衷，以确定损伤参数。