Coupling of poro-electro-elastic effects in a conical shell under various loadings at its apex

Porous materials, with intricate structures and high permeability, play a crucial role in applications requiring enhanced conductivity, stability, and adaptability. This study, for the first time, comprehensively investigates the coupling of poro-electro-elastic (PEE) effects in a conical shell. We derive three-dimensional solutions using potential theory and Green’s function methods to address diverse PEE scenarios, including axial compression due to point forces and charges (including both solid and fluid phases), bending from transverse forces and concentrated moments, and torsion. The solutions, expressed in elementary functions, ensure practical applicability and are validated against existing literature. A numerical analysis based on CdSe and B a T i O 3 crystals examines PEE behavior under various loading conditions. Contour visualizations across different apex angles reveal novel physical insights, including contour smoothing with distance, zero-field limits at greater distances, concentrated field effects near action points, singular and symmetric behaviors, rapid variations near sources, steep gradients at the vertex, zero-common tangents, and significant field alterations due to apex angle variations. These findings establish a crucial framework for advancing the understanding of PEE materials, optimizing piezoelectric sensors and actuators, and enhancing conical structures in geotechnical engineering.