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A convective model for poro-elastodynamics with damage and fluid flow towards Earth lithosphere modelling
Continuum Mechanics and Thermodynamics ( IF 2.6 ) Pub Date : 2021-08-14 , DOI: 10.1007/s00161-021-01043-x
Tomáš Roubíček 1, 2 , Giuseppe Tomassetti 3
Affiliation  

Devised towards geophysical applications for various processes in the lithosphere or the crust, a model of poro-elastodynamics with inelastic strains and other internal variables like damage (aging) and porosity as well as with diffusion of water is formulated fully in the Eulerian setting. Concepts of gradient of the total strain rate as well as the additive splitting of the total strain rate are used while eliminating the displacement from the formulation. It relies on that the elastic strain is small while only the inelastic and the total strains can be large. The energetics behind this model is derived and used for analysis as far as the existence of global weak energy-conserving solutions concerns. By this way, the model of Lyakhovsky et al. (Appl Geophys 171:3099–3123, 2014; J Mech Phys Solids 59:1752–1776, 2011) is completed to make it mechanically consistent and amenable for analysis.



中文翻译:

具有损伤和流体流向地球岩石圈建模的多孔弹性对流模型

设计用于岩石圈或地壳中各种过程的地球物理应用,具有非弹性应变和其他内部变量(如损坏(老化)和孔隙度以及水扩散)的多孔弹性动力学模型在欧拉环境中完全制定。使用总应变率梯度的概念以及总应变率的加法分裂,同时从公式中消除位移。它依赖于弹性应变很小,而只有非弹性应变和总应变可以很大。就全局弱节能解决方案的存在而言,该模型背后的能量学被推导出并用于分析。通过这种方式,Lyakhovsky 等人的模型。(Appl Geophys 171:3099–3123, 2014; J Mech Phys Solids 59:1752–1776,

更新日期:2021-08-19
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