Extension, inflation and torsion of a residually stressed circular cylindrical tube

J Merodio, RW Ogden - Continuum Mechanics and Thermodynamics, 2016 - Springer
In this paper, we provide a new example of the solution of a finite deformation boundary-
value problem for a residually stressed elastic body. Specifically, we analyse the problem of …

[HTML][HTML] Bifurcation analysis of elastic residually-stressed circular cylindrical tubes

A Melnikov, RW Ogden, L Dorfmann… - International Journal of …, 2021 - Elsevier
The theory of superimposed incremental elastic deformations is applied to a deformed
configuration of a residually-stressed circular cylindrical tube. The tube is subject to internal …

Representation of stress and free energy for a viscoelastic body from a stressed reference

S Mukherjee, P Ravindran - Journal of the Mechanics and Physics of Solids, 2024 - Elsevier
Viscoelastic materials are often initially or residually stressed in the reference configuration.
This stress and associated configuration may also evolve temporally without any external …

[HTML][HTML] The effect of initial stress on the propagation of surface waves in a layered half-space

NT Nam, J Merodio, RW Ogden, PC Vinh - International Journal of Solids …, 2016 - Elsevier
In this paper the propagation of small amplitude surface waves guided by a layer with a finite
thickness on an incompressible half-space is studied. The layer and half-space are both …

[PDF][PDF] Rayleigh wave in a rotating nonlocal magnetoelastic half-plane

I Roy, DP Acharya, S Acharya - Journal of Theoretical and …, 2015 - archive.sciendo.com
This paper investigates the propagation of Rayleigh surface waves in a rotating semi-infinite
solid medium, permeated by an initial magnetic field in the context of linear nonlocal …

Initial stress symmetry and its applications in elasticity

AL Gower, P Ciarletta… - Proceedings of the …, 2015 - royalsocietypublishing.org
An initial stress within a solid can arise to support external loads or from processes such as
thermal expansion in inert matter or growth and remodelling in living materials. For this …

Localized necking and bulging of finitely deformed residually stressed solid cylinder

Y Liu, L Dorfmann - Mathematics and Mechanics of Solids, 2024 - journals.sagepub.com
In this paper, we investigate the influence of residual stress on the stability of a solid circular
cylinder subject to axial extension. The nonlinear theory of elasticity is used to derive the …

Rayleigh surface wave at an impedance boundary of an incompressible micropolar solid half-space

B Singh, B Kaur - Mechanics of Advanced Materials and Structures, 2022 - Taylor & Francis
Linear theory of micropolar elasticity has potential applications in exploration of materials
made from bar-like molecules with micro-rotational effects. This theory is employed to …

Effect of initial stress on Love wave propagation at the boundary between a layer and a half-space

M Shams - Wave Motion, 2016 - Elsevier
In this paper, a discussion on the effects of initial stress and finite deformation on the speed
of Love waves propagating along the boundary between a half-space and a layer is carried …

A new restriction for initially stressed elastic solids

AL Gower, T Shearer, P Ciarletta - The Quarterly Journal of …, 2017 - academic.oup.com
We introduce a fundamental restriction on the strain energy function and stress tensor for
initially stressed elastic solids. The restriction applies to strain energy functions that are …