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首页> 外文期刊>Zeitschrift fur Angewandte Mathematik und Mechanik >Modelling of cyclic creep in the finite strain range using a nested split of the deformation gradient
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Modelling of cyclic creep in the finite strain range using a nested split of the deformation gradient

机译：使用变形梯度嵌套分离的有限应变范围内循环蠕变的建模

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摘要

A new phenomenological model of cyclic creep, which is suitable for applications involving finite creep deformations of the material, is proposed. The model accounts for the effect of the transient increase of the creep strain rate upon the load reversal. In order to extend the applicability range of the model, the creep process is fully coupled to the classical Kachanov-Rabotnov damage evolution. As a result, the proposed model describes all the three stages of creep. Large strain kinematics is described in a geometrically exact manner using the assumption of a nested multiplicative split, originally proposed by Lion for finite strain plasticity. The model is thermodynamically admissible, objective, and w-invariant. The implicit time integration of the proposed evolution equations is discussed. The corresponding numerical algorithm is implemented into the commercial FEM code MSC.Marc. The model is validated using this code; the validation is based on real experimental data on cyclic torsion of a thick-walled tubular specimen made of the D16T aluminium alloy. The numerically computed stress distribution exhibits a "skeletal point" within the specimen, which simplifies the analysis of test data.
机译：提出了一种新的循环蠕变现象学模型，适用于涉及涉及材料的有限蠕变变形的应用。该模型占蠕变应变率瞬态增加对负荷反转时的影响。为了扩展模型的适用性范围，蠕变过程完全耦合到古典kachanov-rabotnov损伤演化。结果，所提出的模型描述了蠕变的所有三个阶段。使用狮子率的假设以有限应变可塑性提出的嵌套乘法分裂，以几何形状的方式以几何形状的方式描述大规模的动态。该模型是热力学允许的，目标和W-不变的。讨论了所提出的演化方程的隐式时间集成。相应的数值算法是在商业有限元代码MSC.MARC中实现的。使用此代码验证该模型;验证基于由D16T铝合金制成的厚壁管状试样的循环扭转实际实验数据。数值计算的应力分布在样本内显示出“骨骼点”，这简化了测试数据的分析。

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