A finite element implementation of finite deformation surface and bulk poroelasticity
A finite element implementation of finite deformation surface and bulk poroelasticity
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DOI：
10.1007/s00466-023-02398-5
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发表时间：
2023-05
影响因子：
4.1
通讯作者：
Jaemin Kim;Ida Ang;F. Ballarin;C. Hui;N. Bouklas
中科院分区：
文献类型：
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作者：
Jaemin Kim;Ida Ang;F. Ballarin;C. Hui;N. Bouklas
我们提出了一个理论和计算模型的行为的多孔固体经历两个相互依赖的过程，有限变形的固体和物种迁移通过固体，这是不同的散装和表面上。非线性理论使我们能够系统地研究多孔固体在广泛的应用，如药物输送，生物材料设计，生物力学和机械生物学的基础研究，以及传感器和致动器的设计。随着我们的目标是在更小的长度尺度上理解物理现象，理解基本的生物过程和设备的小型化，表面效应变得更加相关。虽然现有的方法提供了必要的工具来研究耦合体效应的变形和扩散，但是，很少有人知道完全耦合体和表面多孔弹性在有限应变。在这里，我们开发了一个表面和散装孔隙弹性，专门为软水合固体，沿着与相应的有限元实现，包括一个三场弱形式的物理一致的配方。我们的方法捕捉到有限变形和物种扩散的竞争多物理过程之间的相互作用，占表面运动学和表面运输，并提供了宝贵的洞察力时，表面效应是重要的。
We present a theoretical and computational model for the behavior of a porous solid undergoing two interdependent processes, the finite deformation of a solid and species migration through the solid, which are distinct in bulk and on surface. Nonlinear theories allow us to systematically study porous solids in a wide range of applications, such as drug delivery, biomaterial design, fundamental study of biomechanics and mechanobiology, and the design of sensors and actuators. As we aim to understand the physical phenomena at a smaller length scale, towards comprehending fundamental biological processes and miniaturization of devices, surface effect becomes more pertinent. Although existing methodologies provide the necessary tools to study coupled bulk effects for deformation and diffusion; however, very little is known about fully coupled bulk and surface poroelasticity at finite strain. Here we develop a thermodynamically consistent formulation for surface and bulk poroelasticity, specialized for soft hydrated solids, along with a corresponding finite element implementation that includes a three-field weak form. Our approach captures the interplay between competing multiphysical processes of finite deformation and species diffusion, accounting for surface kinematics and surface transport, and provides invaluable insight when surface effects are important.