Theory and finite element computations of a unified cyclic phase transformation model for monocrystalline materials at small strains
Theory and finite element computations of a unified cyclic phase transformation model for monocrystalline materials at small strains
复制标题
小应变单晶材料统一循环相变模型的理论与有限元计算
DOI：
10.1007/s00466-006-0118-x
复制
发表时间：
2007
影响因子：
4.1
通讯作者：
Ole Zwickert
中科院分区：
文献类型：
--
作者：
E. Stein;Ole Zwickert
经过调查，提出了由Govindjee和Miehe（计算方法应用机械工程191:215-238,2001）建立的速率无关的宏观统一PT材料模型（包括相对于相分数和共形自由能的质量守恒）的精细数值处理和验证，用于描述线性运动学设置中的SME和SE效应。特别注意与温度有关的PTs。2004年通过UMAT材料接口在ABAQUS中实现了材料模型。利用Xiangyang et al. （J Mech Phys Solids 48:21 163 - 2182, 2000）提供的实验数据，采用三维有限元计算对该模型进行了验证。利用不同来源的实验资料，给出了能量势垒的数值结果。另一个特点是模拟了准塑性温度诱导PT的抑制形状记忆效应。此外，通过比较马氏体PT的蝴蝶形膨胀和塑性变形来处理平面应变问题。
After a survey the refined numerical treatment and verification is presented for a rate-independent macroscopic unified PT material model (including mass conservation with respect to phase fractions and covexified free energy) by Govindjee and Miehe (Comput Methods Appl Mech Eng 191:215–238, 2001) for describing SME and SE effects within a linear kinematic setting. Special attention is given to temperature dependent PTs. The material model was implemented into ABAQUS via the UMAT material interface in 2004. Validation of this PT model is carried out with experimental data supplied by Xiangyang et al. (J Mech Phys Solids 48:2163–2182, 2000), using 3D finite element computations. Experimentally gained material data from different sources are used and numerical results of energy barriers for PTs are given. Another feature is the simulation of suppressed shape memory effects by quasiplastic temperature induced PT. Furthermore, a plane strain problem is treated with comparisons of butterfly shaped expansions of martensitic PT and plastic deformation, correspondingly.