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Alexandru Ioan Cuza
University of Iasi,
Department of Mathematics,
Blvd. Carol I, no. 11,
700506- Iasi, Romania

Octav Mayer Institute of Mathematics, Romanian Academy, Iasi Branch,
Bd. Carol I, no. 8, 700505-Iasi, Romania

E-mail: dumitrel.ghiba@uaic.ro

Papers in ISI journals

P. Neff, S. Holthausen, M.V. dAgostino, D. Bernardini, A. Sky, I.D. Ghiba, R.J. Martin. Hypo-elasticity, Cauchy-elasticity, corotational stability and monotonicity in the logarithmic strain, Journal of the Mechanics and Physics of Solids, 202, pp. 106074, 2025

P. Neff, S. Holthausen, S.N. Korobeynikov, I.D. Ghiba, R.J. Martin. A natural requirement for objective corotational rates-on structure-preserving corotational rates, Acta Mechanica, 236, pp. 26572689, 2025.

M.M. Saem, E. Bulgariu, I.D. Ghiba, P. Neff. Explicit formula for the Gamma-convergence homogenized quadratic curvature energy in isotropic Cosserat shell models, 76 (2) DOI10.1007/s00033-024-02415-4 ZAMP, 2025.

M.V. dAgostino, S. Holthausen, D. Bernardini, A. Sky, I.D. Ghiba, R.J. Martin, P. Neff. A Constitutive Condition for Idealized Isotropic Cauchy Elasticity Involving the Logarithmic Strain, 157: article number 23, 2025.

I.D. Ghiba, P. Lewintan, A. Sky, P. Neff. An essay on deformation measures in isotropic thin shell theories. Bending versus curvature, Mathematics and Mechanics of Solids 30 (6), pp. 1393-1432, 2025.

E. Bulgariu, I.D. Ghiba, H. Khan, P. Neff. Rayleigh waves in isotropic elastic materials with micro-voids, International Journal of Solids and StructureS, Volume 290, 112661, 2024.

M.M. Saem, I.D. Ghiba, P. Neff. A Geometrically Nonlinear Cosserat (Micropolar) Curvy Shell Model Via Gamma Convergence, Journal of Nonlinear Science, 33 (5): Article Number 70, 2023.

I.D. Ghiba, M. Birsan, P. Neff. A Linear Isotropic Cosserat Shell Model Including Terms up to h5. Existence and Uniqueness Published: 07 February 2023 Volume 154, pp. 579605, (2023).

I.D. Ghiba, P. Neff. Linear constrained Cosserat-shell models including terms up to O(h5): conditional and unconditional existence and uniqueness, Zeitschrift fur Angewandte Mathematik und Physik, 74: Article Number 4, 2023.

I.D. Ghiba, G. Rizzi, A. Madeo, P. Neff. Cosserat Micropolar Elasticity: Classical Eringen vs. Dislocation Form, Journal of Mechanics of Materials and Structures, 18 (1), pp. 93-123, 2023.

G. Rizzi, G. Hutter, H. Khan, I.D. Ghiba, A. Madeo, P. Neff. Analytical solution of the uniaxial extension problem for the relaxed micromorphic continuum and other generalized continua (including full derivations), Archive of Applied Mechanics, 93 (1), pp. 5-21, 2023.

J. Voss, R.J. Martin, I.D. Ghiba, P. Neff. Morrey's Conjecture for the Planar Volumetric-Isochoric Split: Least Rank-One Convex Energy Functions, Journal of Nonlinear Science 32 (5), Article Number 76, DOI10.1007/s00332-022-09827-4, 2022.

J. Voss, I.D. Ghiba, R.J. Martin, P. Neff. A rank-one convex, non-polyconvex isotropic function on GL+(2) with compact connected sublevel sets, Proceedings A of the Royal Society of Edinburgh, 152, pp. 356-381 2022.

H. Khan, I.D. Ghiba, A. Madeo, P. Neff. Existence and uniqueness of Rayleigh waves in isotropic elastic Cosserat materials and algorithmic aspects, Wave Motion, 110, pp. 102898, 2022.

G. Rizzi, G. Hutter, H. Khan, I.D. Ghiba, A. Madeo, P. Neff, Analytical solution of the cylindrical torsion problem for the relaxed micromorphic continuum and other generalized continua (including full derivations), Mathematics and Mechanics of Solids, 27, pp. 507-553, 2022.

I.D. Ghiba, M. Birsan, P. Lewintan, P. Neff, A Constrained Cosserat Shell Model up to Order $O(h^5)$.: Modelling, Existence of Minimizers, Relations to Classical Shell Models and Scaling Invariance of the Bending Tensor, Journal of Elasticity, 146: 83141, 2021.

I.D. Ghiba, P. Neff, S. Owczarek. A note on local higher regularity in the dynamic linear relaxed micromorphic model, Math. Meth. Appl. Sci., 44:13855-13865, 2021.

J. Voss, I.D. Ghiba, R.J. Martin, P. Neff. Sharp rank-one convexity conditions in planar isotropic elasticity for the additive volumetric-isochoric split, Journal of Elasticity, 143: 301-335, 2021.

I.D. Ghiba, P. Neff and S. Owczarek. Existence results for non-homogeneous boundary conditions in the relaxed micromorphic model, Math. Meth. Appl. Sci., 44: 2040-2049, 2021.

I.D. Ghiba, M. Birsan, P. Lewintan, P. Neff. The isotropic Cosserat shell model including terms up to $O(h^5)$. Part II: Existence of minimizers, Journal of Elasticity, 142: 263–290, 2020.

I.D. Ghiba, M. Birsan, P. Lewintan, P. Neff. The isotropic Cosserat shell model including terms up to $O(h^5)$. Part I: Derivation in matrix notation, Journal of Elasticity, 142: 201–262, 2020.

R.J. Martin, J. Voss, I.D. Ghiba, O. Sander, P. Neff, The quasiconvex envelope of conformally invariant planar energy functions in isotropic hyperelasticity, Journal of Nonlinear Science, 30: 2885–2923, 2020.

M.V. d'Agostino, G. Barbagallo, I.D. Ghiba, B. Eidel, P. Neff, A. Madeo, Effective description of anisotropic wave dispersion in mechanical band-gap metamaterials via the relaxed micromorphic model, Journal of Elasticity, 139: 299–329, 2020.

R.J. Martin, J. Voss, I.D. Ghiba, P. Neff, Quasiconvex relaxation of isotropic functions in incompressible planar hyperelasticity, Proceedings of the Royal Society of Edinburgh, Section: A Mathematics, 150: 2620 – 2631, 2020. .

M. Birsan, I.D. Ghiba, R.J. Martin, P. Neff, Refined dimensional reduction for isotropic elastic Cosserat shells with initial curvature, Mathematics and Mechanics of Solids, 24: 4000-4019, 2019.

S. Owczarek, I.D. Ghiba, M.V. d'Agostino, P. Neff, Nonstandard micro-inertia terms in the relaxed micromorphic model: well-posedness for dynamics, Mathematics and Mechanics of Solids, 24: 3200-3215, 2019.

R.J. Martin, I.D. Ghiba, P. Neff, A polyconvex extension of the logarithmic Hencky strain energy, Analysis and Applications, 17: 349-361, 2019.

I.D. Ghiba, R.J. Martin, P. Neff. Rank-one convexity implies polyconvexity in isotropic planar incompressible elasticity, Journal de Mathematiques Pures et Appliques, 116: 88-104, 2018.

R.J. Martin, I.D. Ghiba, P. Neff, A non-ellipticity result, or the impossible taming of the logarithmic strain measure, International Journal of Non-Linear Mechanics, 102: 147-158, 2018.

R.J. Martin, I.D. Ghiba, P. Neff. Rank-one convexity implies polyconvexity for isotropic, objective and isochoric elastic energies in the two-dimensional case, Proceedings of the Royal Society of Edinburgh, Section: A Mathematics 147 (3): 571-597, 2017. pdf

I. Munch, P. Neff, A. Madeo, I.D. Ghiba, The modified indeterminate couple stress model: Why Yang et al.'s arguments motivating a symmetric couple stress tensor contain a gap and why the couple stress tensor may be chosen symmetric nevertheless, ZAMM, 97: 1524-1554,2017.

M. V. d'Agostino, G. Barbagallo, I.D. Ghiba, A. Madeo, P. Neff, A panorama of dispersion curves for the weighted isotropic relaxed micromorphic model, ZAMM, 97: 1436-1481, 2017.

G. Barbagallo, M.V. D'Agostino, R. Abreu, I.D. Ghiba, A. Madeo, P. Neff, Transparent anisotropy for the relaxed micromorphic model: macroscopic consistency conditions and long wave length asymptotics, International Journal of Solids and Structures, 120: 7-30, 2017.

I.D. Ghiba, P. Neff, A. Madeo, I. Munch. A variant of the linear isotropic indeterminate couple stress model with symmetric local force-stress, symmetric nonlocal force-stress, symmetric couple-stresses and complete traction boundary conditions, Mathematics and Mechanics of Solids 22: 1221-1266, 2017. pdf

P. Neff, A. Madeo, G. Barbagallo, M.V. D'Agostino, R. Abreu, I.D. Ghiba. Real wave propagation in the isotropic-relaxed micromorphic model, Proceedings of the Royal Society A 473, doi: 10.1098/rspa.2016.0790, 2017.

A. Madeo, P. Neff, I.D. Ghiba., G. Rosi, Reflection and transmission of elastic waves at interfaces embedded in non-local band-gap metamaterials: a comprehensive study via the relaxed micromorphic model, Journal of the Mechanics and Physics of Solids 95: 441-479, 2016.

A. Madeo, I.D. Ghiba, P. Neff, I. Munch. A new view on boundary conditions in the Grioli-Koiter-Mindlin-Toupin indeterminate couple stress model, European Journal of Mechanics A/Solids, 59: 294-322, 2016. pdf

I.D. Ghiba, P. Neff, R.J. Martin. An ellipticity domain for the distortional Hencky-logarithmic strain energy, Proceedings of the Royal Society A 471, doi: 10.1098/rspa.2015.0510, 2016. pdf

P. Neff, I. Munch, I.D. Ghiba, A. Madeo. On some fundamental misunderstandings in the indeterminate couple stress model. A comment on recent papers of A.R. Hadjesfandiari and G.F. Dargush, International Journal of Solids and Structures 81: 233-243, 2016. pdf

P. Neff, I.D. Ghiba. Loss of ellipticity in additive logarithmic finite strain plasticity, International Journal of Non-Linear Mechanics, 81: 122-128, 2016. pdf

P. Neff, I.D. Ghiba. The exponentiated Hencky-logarithmic strain energy. Part III: Coupling with idealized isotropic finite strain plasticity, Continuum Mechanics and Thermodynamics, 28: 477-487, 2016. pdf

I.D. Ghiba, P. Neff, M. Silhavy. The exponentiated Hencky-logarithmic strain energy. Improvement of the proof of planar polyconvexity, International Journal of Non-Linear Mechanics, 71: 48-51, 2015. pdf

P. Neff, J. Lankeit, I.D. Ghiba, R. Martin, David Steigmann. The exponentiated Hencky-logarithmic strain energy. Part II: Coercivity, planar polyconvexity and existence of minimizers, ZAMP, 66: 1671-1693 2015. pdf

P. Neff, I.D. Ghiba, J. Lankeit. The exponentiated Hencky-logarithmic strain energy. Part I: Constitutive issues and rank-one convexity, Journal of Elasticity, 121: 143-234, 2015. pdf

A. Madeo, P. Neff, I.D. Ghiba, L. Placidi, G. Rosi. Band gaps in the relaxed linear micromorphic continuum, ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik, 95: 880-887, 2015. pdf

I.D. Ghiba, P. Neff, A. Madeo, L. Placidi, G. Rosi. The relaxed linear micromorphic continuum: existence, uniqueness and continuous dependence in dynamics, Mathematics and Mechanics of Solids, 68: 53-84, 2015. arXiv:1308.3762

A. Madeo, P. Neff, I.D. Ghiba, L. Placidi, G. Rosi. Wave propagation in relaxed micromorphic continua: modelling metamaterials with frequency band-gaps, Continuum Mechanics and Thermodynamics, 27, pp, 551-570, 2015. pdf

P. Neff, I.D. Ghiba, M. Lazar, A. Madeo. The relaxed linear micromorphic continuum: well-posedness of the static problem and relations to the gauge theory of dislocations, Quarterly Journal of Mechanics and Applied Mathematics, 68 (1): 53-84, 2015. pdf

I.D. Ghiba, E. Bulgariu. On spatial evolution of the solution of a non-standard problem in the bending theory of elastic plates, IMA Journal of Applied Mathematics, 80 (2): 452-473, 2015. pdf

P. Neff, I.D. Ghiba, A. Madeo, L. Placidi, G. Rosi. A unifying perspective: the relaxed linear micromorphic continuum, Continuum Mechanics and Thermodynamics, 26: 639-681, 2014. arXiv:1308.3219

I.D. Ghiba. On the spatial behaviour in bending theory of porous thermoelastic plates. Journal of Mathematical Analysis and Applications, 403: 129-142, 2013. pdf

E. Bulgariu, I.D. Ghiba. On the thermal stresses in anisotropic porous cylinders, Discrete and Continuous Dynamical Systems - Series S, 6, December: 1539-1550, 2013. pdf

I.D. Ghiba, C. Gales. Some qualitative results in the linear theory of micropolar solid-solid mixtures, Journal of Thermal Stresses, 36: 426-445, 2013. pdf

I.D. Ghiba. On the temporal behaviour in the bending theory of porous thermoelastic plates, ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik, 93: 284-296, 2013. pdf

I.D. Ghiba, C. Gales. On the fundamental solutions for micropolar fluid-fluid mixtures under steady state vibrations, Appl. Math. Comput., 219: 2749-2759, 2012. pdf

S. Chirita, I.D. Ghiba. Rayleigh waves in Cosserat elastic materials, International Journal of Engineering Science, 51: 117-127, 2012. pdf

C. Gales, I.D. Ghiba, I. Ignatescu. Asymptotic partition of energy in micromorphic thermopiezoelectricity, Journal of Thermal Stresses, 34: 1241-1249, 2011. pdf

I.D. Ghiba. On the steady vibrations problem in linear theory of micropolar solid-fluid mixture, European Journal of Mechanics A/Solids, 30: 584-593, 2011. pdf

I.D. Ghiba. On the thermal theory of micropolar solid-fluid mixture, Journal of Thermal Stresses, 34: 1-17, 2011. pdf

C. Gales, I.D. Ghiba. On uniqueness and continuous dependence of solutions in viscoelastic mixtures, Meccanica, 45, pp. 901-909, 2011. pdf

I.D. Ghiba. Representation theorems and fundamental solutions for micropolar solid-fluid mixtures under steady state vibrations, European Journal of Mechanics A/Solids, 29: 1034-1041, 2010. pdf

S. Chirita, I.D. Ghiba. Inhomogeneous plane waves in elastic materials with voids, Wave Motion, 47: 333-342, 2010. pdf

S. Chirita, I.D. Ghiba. Strong ellipticity and progressive waves in elastic materials with voids, Proceedings of the Royal Society A, 466: 439-458, 2010. pdf

I.D. Ghiba. On the deformation of transversely isotropic porous elastic circular cylinder, Archive of Mechanics, 61: 407-421, 2009. pdf

I.D. Ghiba. Some uniqueness and stability results in the theory of micropolar solid-fluid mixture, Journal of Mathematical Analysis and Applications, 335: 385-396, 2009. pdf

S. Chirita, C. Gales, I.D. Ghiba. On Spatial behavior of the harmonic vibrations in Kelvin-Voigt materials, Journal of Elasticity, 93: 81-92, 2008. pdf

I.D. Ghiba. Spatial estimates concerning the harmonic vibrations in rectangular plates with voids, Archives of Mechanics, 60: 263-279, 2008. pdf

I.D. Ghiba. Asymptotic partition of energy in micropolar mixture theory of porous media, Meccanica, 43: 639-649, 2008. pdf

I.D. Ghiba. Semi-inverse solution for Saint-Venant's problem in the theory of porous elastic materials, European Journal of Mechanics - A/Solids, 27: 1060-1074, 2008. pdf

I.D. Ghiba. Some uniqueness and continuous dependence results in the micropolar mixture theory of porous media, International Journal of Engineering Science, 44: 1269-1279, 2006. pdf

Papers in other journals

I.D. Ghiba, F. Gmeineder, S. Holthausen, R.J. Martin, P. Neff. The Biot stress{right stretch relation for the compressible Neo-Hooke-Ciarlet-Geymonat model and Rivlin's cube problem, Communications in Mathematical Analysis and Applications 4 (1): 112150, 2025.

I.D. Ghiba, C. Gales. A uniqueness result for the motion of micropolar solid-fluid mixtures in unbounded domain, Ann. Univ. Ferrara, 57: 275-286, 2011. pdf

I.D. Ghiba. On the spatial behaviour of harmonic vibrations in an elastic cylinder, An. St. Univ. Iasi, Sect. Matematica, LII, f.1: 75-86, 2006. pdf

Book chapters

A. Madeo, P. Neff, G. Barbagallo, M.V. D'Agostino, I.D. Ghiba. A review on wave propagation modeling in band-gap metamaterials via enriched continuum models, In F. dell'Isola, M. Sofonea and D. Steigmann (eds), Mathematical Modelling in Solid Mechanics, Volume 69 of the series Advanced Structured Materials: 89-105, Springer, 2017.

P. Neff, I.D. Ghiba. Comparison of isotropic elasto-plastic models for the plastic metric tensor C_p=F_p^T_Fp, In K. Weinberg and A. Pandol (eds), Innovative Numerical Approaches for Multi-Field and Multi-Scale Problems, Volume 81 of Lecture Notes in Applied and Computational Mechanics: 161-195, Springer, 2016.
I.D. Ghiba. Linear Thermoelastic Model. In R. Hetnarski (ed.), Encyclopedia of Thermal Stresses: 2785-2794, Springer, 2014. click, pdf

I.D. Ghiba. Boundary-Initial Value Problems of 3 Thermoelastodynamics. In R. Hetnarski (ed.), Encyclopedia of Thermal Stresses: 468-474, Springer, 2014. click, pdf

I.D. Ghiba. Partition of Energy. In R. Hetnarski (ed.), Encyclopedia of Thermal Stresses: 3609-3616, Springer, 2014. click, pdf

I.D. Ghiba. Saint-Venant's Principle. In R. Hetnarski (ed.), Encyclopedia of Thermal Stresses: 4255-4264, Springer, 2014. click, pdf

I.D. Ghiba. Thermoelastic Waves. In R. Hetnarski (ed.), Encyclopedia of Thermal Stresses: 5785-5794, Springer, 2014. click , pdf

Papers in proceedings of conferences

P. Neff, M. Birsan, I.D. Ghiba, A higher order geometrically nonlinear Cosserat‐shell model with initial curvature effects, PAMM-Proc. Appl. Math. Mech. 19 (1), e201900351, 2019.

M.V. d’Agostino, A. Madeo, G. Barbagallo, I.D. Ghiba, B. Eidel, P. Neff, Anisotropic wave dispersion and band-gaps in mechanical metamaterials via the relaxed micromorphic model, PAMM-Proc. Appl. Math. Mech. 18 (1), e201800413, 2018.

I.D. Ghiba, P. Neff, R.J. Martin. Loss of ellipticity in additive logarithmic finite strain plasticity and related results on Hencky-type energies. PAMM-Proc. Appl. Math. Mech. 16: 341-342, 2016.

P. Neff, I.D. Ghiba, A. Madeo., I. Munch. Null-Lagrangians and the indeterminate couple stress model, PAMM-Proc. Appl. Math. Mech. 16: 379-380, 2016.

R.J. Martin, P. Neff and I.D. Ghiba. Rank-one convexity implies polyconvexity for isotropic, objective and isochoric elastic energies in the two-dimensional case, PAMM-Proc. Appl. Math. Mech. 16: 659-660, 2016.

P. Neff, I.D. Ghiba, J. Lankeit, R. Martin. Rank-one convexity and polyconvexity of Hencky-type energies, PAMM-Proc. Appl. Math. Mech. 14: 735-736, 2014. pdf

I.D. Ghiba, P. Neff, A. Madeo. The relaxed micromorphic continuum model, PAMM-Proc. Appl. Math. Mech. 14: 733-734, 2014. pdf

I.D. Ghiba. Existence and uniqueness results in the micropolar mixture theory of porous media. In O. Carja, I. Vrabie (eds.), Applied analysis and diferential equations: 139-152. World Scientifc, 2007. pdf

Edited volumes

O. Carja, I.D. Ghiba. Proceedings of the International Student Conference on Pure and Applied Mathematics, Editura Universitatii "Alexandru Ioan Cuza", 2011, ISBN 978-973-703-602-5(Editor). pdf, cover

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