Visco-hyperelastic constitutive modeling of soft tissues based on short and long-term internal variables.
Visco-hyperelastic constitutive modeling of soft tissues based on short and long-term internal variables.
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DOI：
10.1186/s12938-015-0023-7
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发表时间：
2015-03-30
影响因子：
3.9
通讯作者：
Li L
中科院分区：
文献类型：
--
作者：
Ahsanizadeh S;Li L
微分型和积分型公式是粘弹性材料建模的两种常用方法。微分型理论通常来自亥姆霍兹自由能函数，通常更适合于预测快速加载过程中应变率相关的力学行为，而积分型理论通常比微分型理论更有效地捕获应力松弛。需要一种建模方法来预测在快速加载和松弛阶段的粘弹性响应。为了充分利用这两种理论各自的优点，提出了一种基于短期和长期内变量的本构建模方法。短期变量描述了加载速率，而长期变量包括时间常数表征了加载历史和应力松弛。用韧带和关节软骨的特定制剂证明了该方法的应用。用文献中的实验数据对两种组织的模型参数进行校准。结果发现，该模型可以很好地预测在加载和松弛阶段的应变率依赖的负载响应范围很广。根据时间尺度引入不同的内部变量减少了材料表征过程中的困难，并使模型能够更准确地预测实验数据，特别是在高应变率下。
Differential-type and integral-type formulations are two common approaches in modeling viscoelastic materials. A differential-type theory is often derived from a Helmholtz free energy function and is usually more suitable for the prediction of strain-rate dependent mechanical behavior during rapid loading, while an integral-type theory usually captures stress relaxation more efficiently than a differential-type theory. A modeling approach is needed to predict the viscoelastic responses during both rapid loading and relaxation phases. A constitutive modeling methodology based on the short and long-term internal variables was proposed in the present study in order to fully use the better features of the two types of theories. The short-term variables described the loading rate, while the long-term variables involving time constants characterized loading history and stress relaxation. The application of the methodology was demonstrated with particular formulations for ligament and articular cartilage. Model parameters were calibrated for both tissues with experimental data from the literature. It was found that the proposed model could well predict a wide range of strain-rate dependent load responses during both loading and relaxation phases. Introducing different internal variables in terms of their time scales reduced the difficulties in the material characterization process and enabled the model to predict the experimental data more accurately, in particular at high strain-rates.
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DOI：
10.1016/j.ijsolstr.2005.04.022
发表时间：
2006-03-01
影响因子：
3.6
作者：
De Vita, R;Slaughter, WS
通讯作者：
Slaughter, WS
影响因子：
3.2
作者：
BIOT, MA
通讯作者：
BIOT, MA
影响因子：
1.9
作者：
ONAT, ET;FARDSHIS.F
通讯作者：
FARDSHIS.F
影响因子：
2.9
作者：
Natali, AN;Pavan, PG;Dorow, C
通讯作者：
Dorow, C
影响因子：
2.2
作者：
Li, LP;Herzog, W;Jurvelin, JS
通讯作者：
Jurvelin, JS