Dr Inna M. Gitman

BSc, MSc, PhD

Dr I Gitman

Lecturer

European and Year Abroad Tutor

Department of Mechanical Engineering
Sir Frederick Mappin Building
Mappin Street
Sheffield
S1 3JD
UK

Telephone: +44(0)114 2227728
Fax: +44(0)114 2227890

email : i.gitman@sheffield.ac.uk

Profile

Dr Inna Gitman graduated from Perm State Technical University (Russia) in 2002; where she studied Mathematical Modelling of Systems and Processes. She was awarded her PhD in Civil Engineering from the Delft University of Technology (Netherlands) in 2006. The topic was representative volume and multi-scale modelling in quasi-brittle materials. After several postdoctoral jobs (on stochastic characterisation and reliability of saturated soils at the University of Manchester and finite elements for gradient elasticity and computational multi-scale modelling of mechanical stimulation of bone at the University of Sheffield) Dr Gitman joined the Department of Mechanical Engineering as a lecturer in 2009.

Research Areas

My main research interests are the modelling of solid and bio-materials. My work is mostly computational. The three main themes are Mechanics of Materials, Bio-Mechanics and Statistical & Stochastic Analysis.

Mechanics of Materials:

Analysis of the materials behaviour within a multi-scale modelling framework using the homogenisation of Representative Volume Elements (in collaboration with Prof. Bert Sluys of Delft University of Technology, Netherlands, and Prof. Harm Askes of the University of Sheffield).
Analysis and implementation of gradient-enriched continuum theories that can be used to capture a range of microstructure-driven phenomena such as wave dispersion, size effects and strain localisation (in collaboration with Prof. Elias Aifantis of Aristotle University of Thessaloniki, Greece, Prof. Harm Askes, and Dr Terry Bennett of the University of Sheffield).

Bio-Mechanics

Analysis of the behaviour of the bone subjected to osteoporosis (in collaboration with Prof. Tim Skerry, Dr Eugene McCloskey and Dr Lang Yang).
Modelling of bone as anisotropic continua (in collaboration with Prof. Harm Askes of the University of Sheffield, Dr Ellen Kuhl of the Stanford University, USA and Prof. Elias Aifantis of Aristotle University of Thessaloniki, Greece).

Statistical & Stochastic analysis

Statistical analysis and stochastic characterisation of saturated soil (in collaboration with Prof. Michael A. Hicks of Delft University of Technology, Netherlands).
Stochastic stability analysis (in collaboration with Prof. Mikhail B. Gitman of Perm State Technical University).

Research Grants

2009 Computational multi-scale modelling of mechanical stimulation of bone" funded by Wellcome Trust Value in People (principal investigator; with Dr Lang Yang and Prof. Harm Askes) Value: $68,301.

Teaching

Materials under stress, MEC102

Labs for MEC113 "Solids, Liquids and Gases"

Books

Gitman IM (2006) Representative volumes and multi-scale modelling of quasi-brittle materials. Technische Universiteit Delft.

Journal articles

Kwong MT & Gitman IM (2012) Gradient elastic stress analysis for anisotropic bimaterial interface with arbitrarily oriented crack. International Journal of Fracture, 173(1), 79-85.
Kwong MT & Gitman IM (2012) Gradient Elastic Stress Analysis for Anisotropic Bimaterial Interface with Arbitrarily Oriented Crack. International Journal of Fracture, 1-7.
Gitman IM (2012) Anisotropic gradient elasticity for modelling bone tissue. Computational Materials Science, 52(1), 136-138.
Gitman I (2010) Gradient elasticity for modelling periprosthetic fracture at bi-material bone-implant interface. Russian Journal of Biomechanics, 4 (50)(14), 27-35.
Gitman IM, Askes H, Kuhl E & Aifantis EC (2010) Stress concentrations in fractured compact bone simulated with a special class of anisotropic gradient elasticity. INT J SOLIDS STRUCT, 47(9), 1099-1107.
Askes H & Gitman IM (2009) Non-Singular Stresses in Gradient Elasticity at Bi-Material Interface with Transverse Crack. International Journal of Fracture, 156, 217-222.
Gitman IM, Askes H & Sluys LJ (2008) Coupled-volume multi-scale modelling of quasi-brittle material. European Journal of Mechanics - A/Solids, 27, 302-327.
Michelitsch TM, Gitman IM & Askes H (2007) Critical wave lengths and instabilities in gradient-enriched continuum theories. Mechanics Research Communications, 34, 515-521.
Bennett T, Gitman IM & Askes H (2007) Elasticity Theories with Higher-order Gradients of Inertia and Stiffness for the Modelling of Wave Dispersion in Laminates. International Journal of Fracture, 148, 185-193.
Gitman I, Askes H & Aifantis EC (2007) Gradient elasticity with internal length and internal inertia based on the homogenisation of a Representative Volume Element. Journal of the Mechanical Behaviour of Materials, 18, 1-16.
Gitman IM, Askes H & Sluys LJ (2007) Multiscale modelling of softening materials. Key Engineering Materials, 348-349, 1-4.
Gitman IM, Askes H & Sluys LJ (2007) Representative Volume: existence and size determination. Engineering Fracture Mechanics, 74, 2518-2534.
Gitman IM, Gitman MB & Askes H (2006) Quantification of stochastically stable Representative Volumes for random heterogeneous materials. Archive of Applied Mechanics, 75, 79-92.
Gitman IM, Askes H & Aifantis EC (2005) The Representative Volume size in static and dynamic micro-macro transitions. International Journal of Fracture, 135, L3-L9.
Gitman MB & Gitman I (2004) A new approach to stochastic stability. DH-Stability. Computing and Applied Mechanics(2), 29-35.
Aristov SN & Gitman IM (2002) Viscous flow between two moving parallel disks: Exact solutions and stability analysis. Journal of Fluid Mechanics, 464, 209-215.
Aristov SN & Gitman I (1998) The movement of the sticky incompressible liquid between moving parallel disks. Computing and Applied Mechanics(1), 74-77.
Kwong MT & Gitman I () Gradient Elastic Stress Analysis for Anisotropic Bimaterial Interface with Arbitrarily Oriented Crack. International Journal of Fracture.

Chapters

Askes H & Gitman IM (2010) Review and Critique of the Stress Gradient Elasticity Theories of Eringen and Aifantis In Maugin GA & Metrikine AV (Ed.), Mechanics of Generalized Continua: One Hundred Years After the Cosserats (pp. 203-210). Springer Verlag.
Askes H, Bennett T, Gitman I & Aifantis EC (2008) A multi-scale formulation of gradient elasticity and its finite element implementation In Topping BHV & Papadrakakis M (Ed.), Trends in engineering computational technology (pp. 189-208). Stirlingshire, UK: Saxe-Coburg Pubns.
Askes H, Gitman IM, Simone A & Sluys LJ (2008) Modelling of Size Effects with Gradient-Enriched Continuum Theories In Borodich F (Ed.), IUTAM Symposium on Scaling in Solid Mechanics: Proceedings of the IUTAM Symposium held in Cardiff, UK, 25–29 June, 2007 (pp. 59-68). Netherlands: Springer Verlag.

Conferences

Askes H, Gitman IM, Simone A & Sluys LJ (2009) Modelling of Size Effects with Gradient-Enriched Continuum Theories. IUTAM SYMPOSIUM ON SCALING IN SOLID MECHANICS, 10, 59-68.
Askes H, Gitman IM & Bennett T (2009) Dynamic implementation of implicit gradient elasticity. Euromech Colloquium 510
Gitman I, Bennett T & Askes H (2008) Dispersive propagation of body waves modelled with gradient elasticity, 122-125.
Askes H, Gitman IM & Bennett T (2007) Formulation and finite element implementation of dynamically consistent gradient elasticity. 15th UK National ACME conference
Askes H, Gitman IM & Bennett T (2007) Formulation and finite element implementation of dynamically consistent gradient elasticity. 15th UK National ACME conference
Gitman IM, Askes H & Sluys LJ (2007) A coupled-volume approach to the multi-scale modelling of quasi-brittle materials. Materials Science Forum, 539-543, 2582-2587.
Gitman I, Askes H & Sluys LJ (2007) A coupled-volume approach to the multi-scale modelling of quasi-brittle materials. Materials Science Forum, 539 - 543 THERMEC 2006, 2582-2587.
Askes H, Gitman I & Bennett T (2007) Formulation and finite element implementation of dynamically consistent gradient elasticity. CD Rom proceedings
Gitman I, Askes H & Sluys LJ (2007) Multiscale modelling of softening materials. Key Engineering Materials, 348 - 349 Advances in Fracture and Damage Mechanics VI, 1-4.
Gitman IM, Askes H & Sluys LJ (2006) Multi-scale modelling of quasi-brittle material. Euro-C 2006: Computational Modelling of Concrete Structures
Gitman I, Askes H & Sluys LJ (2006) Multi-scale modelling of quasi-brittle material, 97-107.
Gitman I (2006) Statistical Distributions in Modelling Soil Variability, 147-150.
Gitman IM, Askes H & Sluys LJ (2005) Multiscale modelling and representative volumes: linear-elasticity and softening. International Conference on Fracture
Gitman I, Askes H & Sluys LJ (2005) Multiscale modelling and representative volumes: linear-elasticity and softening. CD-Rom proceedings
Gitman I, Askes H & Sluys LJ (2004) Representative Volume Size as a Macroscopic Length Scale Parameter, 1, 483-491.
Gitman I, Askes H, Sluys LJ & Stroeven M (2003) Multiscale modelling of granular materials, 67-70.
Gitman MB, Gitman I & Askes H (2003) On the stochastic stability of deformation processes, 291-295.
Aristov SN & Gitman I (2000) The stability analysis of the sticky incompressible liquid motion near the stagnation point, 342-346.
Gitman I, Askes H & Aifantis EC () Gradient elasticity for anisotropic materials
Gitman I & Askes H () Higher-order homogenisation methods for continua with internal length and internal time, 129-135.
Gitman I, Askes H & Sluys LJ () Size effect and Representative Volumes, 403-410.
Gitman I, Askes H, Sluys LJ & Lloberas Valls O () The concept of Representative Volume for elastic, hardening and softening materials, 180-184.