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PREDICTION OF DUCTILE FAILURE IN METAL STRUCTURES BASED ON THERMODYNAMICS OF IRREVERSIBLE PROCESS

机译:基于不可逆过程热力学的金属结构延性故障预测

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The objective of the work presented in this paper is to generate a thermodynamically consistent coupled thermo-elastic-plastic damage model of solid media at a macroscopic level. The model is based on the thermodynamics of irreversible processes and the assumption that damage within a continuum can be represented as a damage tensor ω{sub}(ij). This allows for definition of two scalars that are ω=ω{sub}(kk)/3 (the volume damage) and α=(ω'{sub}(ij) ω'{sub}(ij)){sup}(1/2) (a norm of the damage tensor deviator ω'{sub}(ij) = ω{sub}(ij)-ωδ{sub}(ij)). The parameter ω describes the accumulation of micro-pore type damage (which may disappear under compression) and the parameter α describes the shear related damage. The parameter ω may be considered as a volume content of micro-pores in the material. In the damage-free material we have ω=α=0; if damage is accumulated, ω and α increase in such a manner that they remain less than one. The prediction of void growth is based on work by Tuler-Butcher. This damage evolution is then coupled to a rate and temperature dependent deviatoric plasticity model. The criterion for failure is the entropy criterion based on a critical value of a specific dissipation function. Performance of the model is illustrated by few numerical examples.
机译:本文所呈现的工作的目的是在宏观水平下产生固体介质的热力学一致的热弹性损伤模型。该模型基于不可逆转过程的热力学,并且假设连续内的损坏可以表示为损坏张量ω{sub}(ij)。这允许定义两个标量,其是ω=ω{sub}(kk)/ 3(音量损伤)和α=(ω'{sub}(ij)ω'{sub}(ij)){sup}( 1/2)(损坏张量偏差ω'{sub}(ij)=ω{sub}(ij)-ωδ{sub}(ij))。参数ω描述了微孔型损坏的累积(可能在压缩下消失),并且参数α描述了剪切相关损坏。参数ω可以被认为是材料中微孔的体积含量。在无损坏的材料中,我们具有ω=α= 0;如果累积损坏,则ω和α的增加,使得它们仍然小于一个。空隙生长的预测是基于Tuler-Barcher的工作。然后将这种损伤的进化耦合到速率和温度依赖性偏离塑性塑性模型。故障的标准是基于特定耗散函数的临界值的熵标准。模型的性能由几个数字示例说明。

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