工程科学学报
工程科學學報
공정과학학보
Journal of University of Science and Technology Beijing
2015年
8期
1076-1083
,共8页
杨竞%黄杰%孙朝阳%郭宁%王斌
楊競%黃傑%孫朝暘%郭寧%王斌
양경%황걸%손조양%곽저%왕빈
孪生%晶体塑性%本构模型%灵敏度分析%硬化参数
孿生%晶體塑性%本構模型%靈敏度分析%硬化參數
련생%정체소성%본구모형%령민도분석%경화삼수
twinning%crystal plasticity%constitutive models%sensitivity analysis%hardening parameters
基于经典晶体塑性理论,建立了耦合孪生的晶体塑性本构模型并进行了全隐式积分的数值实现.该本构模型采用饱和硬化法则,并采用孪生阻力与滑移硬化之间的正比关系来描述孪生对滑移硬化影响及孪生硬化行为.针对该本构模型的13个参数,结合各参数物理意义提出了参数的分类确定方法.以孪生诱导塑性( TWIP)钢Fe-22Mn-0.6C为例,着重对硬化参数的局部灵敏度进行了分析,研究了各硬化参数对宏观力学响应、孪生激活和演化的影响,根据变形机制的不同宏观变形过程可区分为孪生硬化阶段和孪生硬化失效阶段,进而给出了硬化参数确定的步骤及其建议取值范围.结果表明:初始滑移阻力与屈服极限线性相关,取值范围在80~160 MPa之间;孪生硬化指数增大使得孪生硬化阶段减弱,其取值范围应在0~3之间;孪生阻力与滑移阻力比值增大,则孪生增长率降低,硬化率拐点后移,直至拐点消失,其取值范围在1~1.3之间.
基于經典晶體塑性理論,建立瞭耦閤孿生的晶體塑性本構模型併進行瞭全隱式積分的數值實現.該本構模型採用飽和硬化法則,併採用孿生阻力與滑移硬化之間的正比關繫來描述孿生對滑移硬化影響及孿生硬化行為.針對該本構模型的13箇參數,結閤各參數物理意義提齣瞭參數的分類確定方法.以孿生誘導塑性( TWIP)鋼Fe-22Mn-0.6C為例,著重對硬化參數的跼部靈敏度進行瞭分析,研究瞭各硬化參數對宏觀力學響應、孿生激活和縯化的影響,根據變形機製的不同宏觀變形過程可區分為孿生硬化階段和孿生硬化失效階段,進而給齣瞭硬化參數確定的步驟及其建議取值範圍.結果錶明:初始滑移阻力與屈服極限線性相關,取值範圍在80~160 MPa之間;孿生硬化指數增大使得孿生硬化階段減弱,其取值範圍應在0~3之間;孿生阻力與滑移阻力比值增大,則孿生增長率降低,硬化率枴點後移,直至枴點消失,其取值範圍在1~1.3之間.
기우경전정체소성이론,건립료우합련생적정체소성본구모형병진행료전은식적분적수치실현.해본구모형채용포화경화법칙,병채용련생조력여활이경화지간적정비관계래묘술련생대활이경화영향급련생경화행위.침대해본구모형적13개삼수,결합각삼수물리의의제출료삼수적분류학정방법.이련생유도소성( TWIP)강Fe-22Mn-0.6C위례,착중대경화삼수적국부령민도진행료분석,연구료각경화삼수대굉관역학향응、련생격활화연화적영향,근거변형궤제적불동굉관변형과정가구분위련생경화계단화련생경화실효계단,진이급출료경화삼수학정적보취급기건의취치범위.결과표명:초시활이조력여굴복겁한선성상관,취치범위재80~160 MPa지간;련생경화지수증대사득련생경화계단감약,기취치범위응재0~3지간;련생조력여활이조력비치증대,칙련생증장솔강저,경화솔괴점후이,직지괴점소실,기취치범위재1~1.3지간.
A crystal plasticity model exhibiting deformation twinning is introduced based on the classical crystal plasticity theory, and its numerical implementation is conducted in which a fully implicit integration procedure is employed. In this constitutive model, the saturation-type hardening law is adopted and the direct proportion relationship between twin resistance and slip hardening is used to describe the effect of twinning on slip hardening and twin hardening. By considering the physical meaning of all the 13 parameters in this model, the classification methodology is presented for these parameters. Taking Fe- 22Mn- 0. 6C twinning induced plasticity ( TWIP) steel as an example, a local sensitivity analysis of hardening parameters is investigated emphatically. The effects of hardening parameters on the macro-mechanical response, the activation and evolution of twinning and the strategy for determining the hardening parameters are discussed. According to the difference of deformation mechanisms, the macroscopic deformation are divided into a twin hardening stage and a twin hardening failure stage. And then the determination method and the suggestive ranges for the hardening parameters are given. It is found that the initial slip resistance is linearly associated with the yield limit, and the value of initial resist-ance stress ranges from 80 MPa to 160 MPa. The twin hardening stage weakens when the twin hardening index increases, the range of values allowed for the twin hardening index is 0 to 3. When the ratio between twinning resistance and slip resistance increases, the growth rate of twinning decreases and the turning point of the hardening stage moves backward until it is disappeared. The range of val-ues for the ratio between twinning resistance and slip resistance will be 1 to 1. 3.