#6718. Pressure-driven micro-poro-mechanics: A variational framework for modeling the response of porous materials

September 2026publication date
Proposal available till 04-06-2025
4 total number of authors per manuscript0 $

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Journal’s subject area:
Engineering (all);
Mechanical Engineering;
Mechanics of Materials;
Materials Science (all);
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Abstract:
Porous materials are highly relevant in engineering and medical applications due to their enhanced properties and lightweight nature. Current micromechanical models of porous materials can accurately predict the response under the assumptions of small deformations and drained conditions, typically driven by imposed deformations. However, the theoretical framework for the micromechanical modeling of porous material driven by pore pressure in the large-deformation range has been understudied. In this work, we develop a finite-deformation variational framework for pressure-driven foams, i.e., materials where the pore pressure in the cavities produces the deformation. We further consider different kinematical constraints in the formulation of boundary conditions: kinematic uniform displacements, periodic displacements and uniform traction. We apply the proposed model in the numerical simulation of lung porous tissue using a spherical alveolar geometry and an image-based geometry obtained from micro-computed-tomography images of rat lung.
Keywords:
Lung mechanics; Micromechanics of porous materials; Open-cell foam material; Poromechanics; Pressure-driven models

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