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All Outputs (13)

Refined linearly anisotropic couple-stress elasticity (2024)
Journal Article
Soldatos, K. P. (2024). Refined linearly anisotropic couple-stress elasticity. Mathematics and Mechanics of Solids, https://doi.org/10.1177/10812865231222898

A recently developed, refined version of the conventional linear couple-stress theory of isotropic elasticity is extended to include the influence of anisotropic material effects. With this development, the implied refined theory (1) retains ability... Read More about Refined linearly anisotropic couple-stress elasticity.

Finite deformations of fibre-reinforced elastic solids with fibre bending stiffness – Part II: determination of the spherical part of the couple-stress (2021)
Journal Article
Soldatos, K. P. (2023). Finite deformations of fibre-reinforced elastic solids with fibre bending stiffness – Part II: determination of the spherical part of the couple-stress. Mathematics and Mechanics of Solids, 28(1), 124-140. https://doi.org/10.1177/10812865211061595

The indeterminacy of the spherical part of couple-stress is a well-known drawback of any theoretical formulation stemming from the Cosserat couple-stress theory of elasticity. The relevant theory of finite elastic deformations of solids reinforced by... Read More about Finite deformations of fibre-reinforced elastic solids with fibre bending stiffness – Part II: determination of the spherical part of the couple-stress.

On three-dimensional dynamics of fibre-reinforced functionally graded plates when fibres resist bending (2021)
Journal Article
Aydogdu, M., Aksencer, T., & Soldatos, K. P. (2021). On three-dimensional dynamics of fibre-reinforced functionally graded plates when fibres resist bending. Journal of Engineering Mathematics, 128(1), Article 13. https://doi.org/10.1007/s10665-021-10128-0

This communication aims to initiate an investigation towards understanding the influence that fibre bending stiffness has on the three-dimensional dynamic behaviour of fibrous composites with embedded functionally graded stiff fibres. In this context... Read More about On three-dimensional dynamics of fibre-reinforced functionally graded plates when fibres resist bending.

Generalised viscoelastic fibre at small strain (2021)
Journal Article
Soldatos, K. P. (2021). Generalised viscoelastic fibre at small strain. Journal of Engineering Mathematics, 127(1), Article 6. https://doi.org/10.1007/s10665-020-10087-y

A straight elastic fibre is usually perceived as an one-dimensional structural component, and its similarity with a cylindrical rod makes its concept analogous, if not equivalent with the concept of an elastic spring. This analogy enables this commun... Read More about Generalised viscoelastic fibre at small strain.

On the characterisation of polar fibrous composites when fibres resist bending – Part III: The spherical part of the couple-stress (2020)
Journal Article
Soldatos, K. P. (2020). On the characterisation of polar fibrous composites when fibres resist bending – Part III: The spherical part of the couple-stress. International Journal of Solids and Structures, 202, 217-225. https://doi.org/10.1016/j.ijsolstr.2020.06.013

Part II (Soldatos 2018b) identified some theoretical disagreement between the generally anisotropic polar linear elasticity of Mindlin and Tiersten (1962) and its counterpart developed in (Spencer and Soldatos, 2007; Soldatos, 2014) for fibrous compo... Read More about On the characterisation of polar fibrous composites when fibres resist bending – Part III: The spherical part of the couple-stress.

On the constitution of polar fiber-reinforced materials (2020)
Journal Article
Soldatos, K. P., Shariff, M. H. B. M., & Merodio, J. (2021). On the constitution of polar fiber-reinforced materials. Mechanics of Advanced Materials and Structures, 28(21), 2255-2266 . https://doi.org/10.1080/15376494.2020.1729449

This article presents important constitutive refinements and simplifications in the theory of polar elasticity of materials reinforced by a single family of fibres resistant in bending. One of these simplifications is achieved by paying attention to... Read More about On the constitution of polar fiber-reinforced materials.

Plane Strain Polar Elasticity Of Fibre-Reinforced Functionally Graded Materials and Structures (2019)
Journal Article
Soldatos, K. P., Aydogdu, M., & Gul, U. (2019). Plane Strain Polar Elasticity Of Fibre-Reinforced Functionally Graded Materials and Structures. Journal of Mechanics of Materials and Structures, 14(4), 497-535. https://doi.org/10.2140/jomms.2019.14.497

This study investigates the flexural response of a linearly elastic rectangular strip reinforced in a functionally graded manner by a single family of straight fibres resistant in bending. Fibre bending resistance is associated with the thickness of... Read More about Plane Strain Polar Elasticity Of Fibre-Reinforced Functionally Graded Materials and Structures.

Mass-growth of a finite tube reinforced by a pair of helical fibres (2019)
Journal Article
Soldatos, K. P. (2019). Mass-growth of a finite tube reinforced by a pair of helical fibres. Mechanics Research Communications, 95, 71-78. https://doi.org/10.1016/j.mechrescom.2019.01.002

Several types of tube-like fibre-reinforced tissue, including the layers of arteries and veins, different kinds of muscle, biological tubes as well as plants and trees, are reinforced by a pair of helical fibres wound symmetrically around the tube ax... Read More about Mass-growth of a finite tube reinforced by a pair of helical fibres.

On the dynamic dilatation of a compressible Rivlin cube beyond its elastic limit (2018)
Journal Article
Soldatos, K. (2018). On the dynamic dilatation of a compressible Rivlin cube beyond its elastic limit. International Journal of Non-Linear Mechanics, 106, 310-323. https://doi.org/10.1016/j.ijnonlinmec.2018.04.002

When an isotropic hyperelastic unit cube subjected to dynamic tri-axial extension/compression dilates successfully beyond its elastic limit, namely into its work-hardening deformation regime, plastic flow transforms any kind of induced into permanent... Read More about On the dynamic dilatation of a compressible Rivlin cube beyond its elastic limit.

On the preservation of fibre direction during axisymmetric hyperelastic mass-growth of a finite fibre-reinforced tube (2017)
Journal Article
Soldatos, K. (2018). On the preservation of fibre direction during axisymmetric hyperelastic mass-growth of a finite fibre-reinforced tube. Journal of Engineering Mathematics, 109(1), https://doi.org/10.1007/s10665-017-9942-6

Several types of tube-like fibre-reinforced tissue, including arteries and veins, different kinds of muscle, biological tubes as well as plants and trees, grow in an axially symmetric manner that preserves their own shape as well as the direction and... Read More about On the preservation of fibre direction during axisymmetric hyperelastic mass-growth of a finite fibre-reinforced tube.

On the characterisation of polar fibrous composites when fibres resist bending (2017)
Journal Article
Soldatos, K. (2018). On the characterisation of polar fibrous composites when fibres resist bending. International Journal of Solids and Structures, 148-149, 35-43. https://doi.org/10.1016/j.ijsolstr.2017.10.001

This study aims to initiate research for the invention of methods appropriate for characterisation of fibre-reinforced materials that exhibit polar material behaviour due to fibre bending resistance. It thus focuses interest in the small strain regim... Read More about On the characterisation of polar fibrous composites when fibres resist bending.

On elastic growth modelling of straight hair (2017)
Journal Article
Soldatos, K. (in press). On elastic growth modelling of straight hair. Mathematics and Mechanics of Solids, https://doi.org/10.1177/1081286516680392

Certain macroscopic similarities of the nail and hair elongation mechanisms enable the mass-growth activity that takes place within a straight hair follicle to be modelled through a suitable extension of a relevant small-strain pseudo-elasticity mode... Read More about On elastic growth modelling of straight hair.