Abstract Five analytical solutions are presented for processes of linear viscoelastic, homogeneous, and isotropic solids around freshly opened bores / tunnels in various initial stress fields. The obtained via a simple direct realization Volterra’s principle. This is based on an appropriate decomposition the known solution corresponding elastic problem leads to ordinary differential equations t...

In the present article, we give analytical solutions for temperature distribution in a rectangular parallelepiped with help of multivariable I-function. The results established this paper are general character from which several known and new can be deduced. We also special particular cases our main findings.

As there are different computational methods for simulating problems in generalized mechanics, we present simple applications and their closed-form solutions verifying a numerical implementation. For such benchmark, utilize these analytical examine three-dimensional simulations by the finite element method (FEM) using IsoGeometric Analysis (IGA) with aid of open source codes, called tIGAr, deve...