Abstract In this study, a new peridynamic Mindlin plate formulation is introduced by utilising Euler-Lagrange equations. The classical strain energy density of material point converted to its corresponding form using Taylor’s expansions. suitable for thick plates considering the transverse shear deformation. Material constants do not have any limitation in current formulation. Different types b...

We propose and analyze two locking-free three-field virtual element methods for Biot’s consolidation model in poroelasticity. One is a high-order scheme, the other low-order scheme. For time discretization, we use backward Euler The proposed are well-posed, optimal error estimates of all unknowns obtained fully discrete solutions. generic constants uniformly bounded as Lamé coefficient ? tends ...

Partition identities are often statements asserting that the set \(\mathcal P_X\) of partitions n subject to condition X is equinumerous P_Y\) Y. A Beck-type identity a companion \(|\mathcal P_X|=|\mathcal P_Y|\) difference b(n) between number parts in all and equals \(c|\mathcal P_{X'}|\) also P_{Y'}|\), where c some constant related original identity, \(X'\), respectively \(Y'\), on very slig...