This study presents a comprehensive exploration of Peridynamic (PD) theory, with a specific
focus on its theoretical foundations and practical implementations, including various PD …

A finite deformation Simo-Reissner peridynamics (PD) shell theory is developed to
investigate wave propagation and crack growth in shell structures. Simo-Reissner …

Peridynamic (PD) theory can overcome the shortcomings of classical continuum mechanics
(CCM) in simulating crack initiation and propagation. In this paper, a general anisotropic PD …

Spurious numerical oscillations frequently arise when solving hyperbolic differential
equations under impact loading using numerical methods. These oscillations, often referred …

This paper presents a meshfree approach based on the coupling of peridynamic differential
operator (PDDO) and continuum mechanics to predict the ductile fracture of the steel plates …

This study presents a methodology for the simulation of elastoplastic deformation of steel
plates based on the peridynamic differential operator (PDDO). The PDDO in the 2D case is …

A meshfree orthotropic laminated shell model for geometrically nonlinear static and dynamic
analysis based on the reproducing kernel particle method (RKPM) and the Mindlin-Reissner …

Shell structures are essential components in many industries, including aerospace,
automotive, and civil engineering, due to their lightweight properties and ability to resist …

A meshfree method is developed based on the peridynamic differential operator (PDDO) for
ductile damage and fracture problems in metal shell structures. The kinematic equations …

Получены дифференциальные уравнения статического геометрически нелинейного
деформирования осесимметричной оболочки вращения. Разрешающие функции …