Miscellaneous topics in Continuum Mechanics 

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Finite strain theory in rock mechanics

• A continuum model based on the finite strain theory for interpreting correlations in stress‐dependent permeability, porosity, and compressibility of rocks, see Wang and Zhang (2024, International Journal for Numerical and Analytical Methods in Geomechanics). This work provides a novel viewpoint from the finite strain theory (or say, the large deformation theory) to analyse deformation-flow processes in rock mechanics.

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Finite deformation simulation

• Peridynamics, a theory of reformulation of classical continuum mechanics pioneered by Silling (2000), used for analysing finite deformation and progressive failure of hyperelastic solid modelled by implicit non-ordinary state-based peridynamics, see Wang and Yin (2024, Computer Methods in Applied Mechanics and Engineering). 

• We developed a peridynamic model for modelling time-dependent behaviour and creep damage in hyper-viscoelastic solids, inclduing the effect of pre-cracks on damage, based on the continuum viscoelastic framework pioneered by J.C. Simo, see Wang and Yin (2025, Computer Methods in Applied Mechanics and Engineering).

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Nonlocal theory, Peridynamics

• Peridynamics is a success nonlocal theory. We proposed a unified bond-based peridynamic (UBB-PD) model, with an emphasis on high-frequency dynamics that account for nonlocal properties. The UBB-PD model can be naturally reduced into continuum mechanics, local PD, and nonlocal PD models, see Wang and Yin (2025, International Journal for Numerical and Analytical Methods in Geomechanics).