Inhomogeneous deformation of elastomer gels in equilibrium under saturated and unsaturated conditions
Inhomogeneous deformation of elastomer gels in equilibrium under saturated and unsaturated conditions
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DOI：
10.1016/j.jmps.2010.12.013
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发表时间：
2011-03
影响因子：
5.3
通讯作者：
S. Baek;T. Pence
中科院分区：
文献类型：
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作者：
S. Baek;T. Pence
采用变分法得到了描述弹性体凝胶有限应变平衡构型的控制方程和边界条件。三种情况被认为是：液体饱和的凝胶，不饱和的凝胶，和凝胶在平衡与蒸汽的自己的液体。表面牵引力可以导致这些情况之间的平衡过渡。将液体饱和的凝胶视为浸入液体浴中。如果该浴被耗尽，则凝胶是不饱和的。不饱和度-将恢复饱和状态的液体量的量度-影响随后的机械行为。如果不饱和体系进一步使其液体组分在凝胶表面冷凝或蒸发，则达到新的平衡状态。不饱和情况和与汽相平衡的情况之间的转变对应于凝胶的化学势变量将其值从由体积约束确定的值改变为汽相中的化学势的值。一个有限元方法的基础上创建的变分法，并证明在外翻的情况下，施加非常大的有限应变的变形。凝胶内的液体迁移没有建模，因为我们的重点是在所有这些非平衡过程停止后发生的平衡状态。
A variational method is employed to obtain governing equations and boundary conditions describing finite strain equilibrium configurations of elastomeric gels. Three situations are considered: a liquid saturated gel, an unsaturated gel, and a gel in equilibrium with a vapor of its own liquid. Surface tractions can lead to equilibrium transitions between these cases. The liquid saturated gel is regarded as immersed in a liquid bath. If this bath becomes depleted, then the gel is unsaturated. The degree of unsaturation – a measure of the amount of liquid that would restore a state of saturation – affects the subsequent mechanical behavior. If the unsaturated system is further allowed to condense or evaporate its liquid component at the gel surface, then a new state of equilibrium is achieved. The transition between the unsaturated case and the case of being in equilibrium with the vapor phase corresponds to the chemical potential variable of the gel changing its value from one that is determined by a volume constraint to the value of the chemical potential in the vapor phase. A finite element method is created on the basis of the variational method and demonstrated in the context of eversion, a deformation that imposes very large finite strains. Liquid migration within the gel is not modeled as our focus is on equilibrium states that occur after all such non-equilibrium processes come to rest.