Computing Stresses from Measured In-plane Strains in Viscoelastic Body under Plane Stress Condition
Computing Stresses from Measured In-plane Strains in Viscoelastic Body under Plane Stress Condition
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计算平面应力条件下粘弹性体中测量的面内应变的应力
DOI：
10.11395/aem.5.0_135
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发表时间：
2020
期刊：
影响因子：
--
通讯作者：
S.
中科院分区：
文献类型：
--
作者：
Taguchi;S.;Takeo;K. and Yoneyama;S.
本文提出了一种由平面应力条件下粘弹性体面内应变测量值计算应力的方法。由于泊松比取决于时间和温度，除非泊松比被视为常数，否则很难从面内应变计算应力。本研究着重于线性黏弹性中的伪弹性，并利用数值拉普拉斯变换计算应力。由于贯穿厚度的应变和面内应变之间的关系在拉普拉斯域中表示，泊松比可以被视为时间和温度依赖性。拉普拉斯变换是使用快速傅立叶变换来数值地执行的。因此，FFT的计算性质影响了粘弹性体应力的计算过程。可以通过使用数值拉普拉斯变换增加输入数据的数量来计算适当的值。通过由应变计算应力的实例验证了该方法的有效性。结果表明，即使泊松比具有时间和温度依赖性，也可以从面内应变来评估应力。
This study proposes a method for computing stresses from measured values of in-plane strains in viscoelastic body under plane stress condition. Since Poisson’s ratio depends on time and temperature, it is difficult to calculate stresses from in-plane strains unless Poisson’s ratio is treated as a constant. This research focuses on pseudoelasticity in the linear viscoelasticity and the stresses are computed using a numerical Laplace transformation. Since the relation between a through-thickness strain and in-plane strains is expressed in Laplace domain, Poisson’s ratio can be treated as time-and temperature-dependence. The Laplace transformation is performed numerically using a fast Fourier transformation. Therefore, the computational nature of FFT affects the process of calculating the stress of the viscoelastic body. Appropriate values can be calculated by increasing the number of input data using the numerical Laplace transformation. The effectiveness of the proposed method is demonstrated by computing stresses from strains. Results show that stresses can be evaluated from in-plane strains even if Poisson’s ratio exhibits time-and temperature-dependence.
影响因子：
2.4
作者：
Emri, I.;Prodan, T.
通讯作者：
Prodan, T.
粘弹性条中移动裂纹的时变断裂力学参数评估
DOI：
10.1299/jsmea.42.624
发表时间：
1999
期刊：
Jsme International Journal Series A-solid Mechanics and Material Engineering
影响因子：
--
作者：
S. Yoneyama;K. Ogawa;Akihiro Misawa;M. Takashi
通讯作者：
M. Takashi
使用快速傅里叶变换的数值拉普拉斯变换和反演
DOI：
10.1299/jsmea1988.35.3_319
发表时间：
1992
期刊：
JSME international journal. Series 1, solid mechanics, strenght of materials
影响因子：
--
作者：
H. Inoue;Minoru Kamibayashi;K. Kishimoto;T. Shibuya;T. Koizumi
通讯作者：
T. Koizumi