Modeling of the interaction between bone tissue and resorbable biomaterial as linear elastic materials with voids
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[1] A. Freidin,et al. The stability of the equilibrium of two-phase elastic solids , 2007 .
[2] K. Hutter,et al. A variational approach for the deformation of a saturated porous solid. A second-gradient theory extending Terzaghi's effective stress principle , 2010 .
[3] S. Fare',et al. Ability of polyurethane foams to support cell proliferation and the differentiation of MSCs into osteoblasts. , 2009, Acta biomaterialia.
[4] G. Beaupré,et al. An approach for time‐dependent bone modeling and remodeling—application: A preliminary remodeling simulation , 1990, Journal of orthopaedic research : official publication of the Orthopaedic Research Society.
[5] Elisabeth H. Burger,et al. Osteocyte and bone structure , 2003, Current osteoporosis reports.
[6] Francesco dell’Isola,et al. Linear plane wave propagation and normal transmission and reflection at discontinuity surfaces in second gradient 3D continua , 2012 .
[7] R. Martin. Porosity and specific surface of bone. , 1984, Critical reviews in biomedical engineering.
[8] Antonio Carcaterra,et al. Transient energy exchange between a primary structure and a set of oscillators: return time and apparent damping. , 2004, The Journal of the Acoustical Society of America.
[9] Martine Pithioux,et al. Temporal evolution of skeletal regenerated tissue: what can mechanical investigation add to biological? , 2010, Medical & Biological Engineering & Computing.
[10] Francesco dell’Isola,et al. On the derivation of thermomechanical balance equations for continuous systems with a nonmaterial interface , 1987 .
[11] F. dell'Isola,et al. Continuum modelling of piezoelectromechanical truss beams: an application to vibration damping , 1998 .
[12] F. dell'Isola,et al. Damping of bending waves in truss beams by electrical transmission lines with PZT actuators , 1998 .
[13] Francesco dell’Isola,et al. Boundary Conditions at Fluid-Permeable Interfaces in Porous Media: a Variational Approach , 2009 .
[14] L. Lanyon,et al. Osteoregulatory nature of mechanical stimuli: Function as a determinant for adaptive remodeling in bone , 1987, Journal of orthopaedic research : official publication of the Orthopaedic Research Society.
[15] G. Oliveto,et al. Incremental analysis of plane frames with geometric and material nonlinearities , 1988 .
[16] M. Cuomo,et al. A poroplastic model for hygro-chemo-mechanical damage of concrete , 2013 .
[17] A. A. Bakir,et al. Porous Biodegradable Metals for Hard Tissue Scaffolds: A Review , 2012, International journal of biomaterials.
[18] H. Grootenboer,et al. Adaptive bone-remodeling theory applied to prosthetic-design analysis. , 1987, Journal of biomechanics.
[19] K. Hutter,et al. What are the dominant thermomechanical processes in the basal sediment layer of large ice sheets? , 1998, Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences.
[20] Ying-Cheng Lai,et al. Statistical damage theory of 2D lattices : Energetics and physical foundations of damage parameter , 2007 .
[21] Ugo Andreaus,et al. An optimal control procedure for bone adaptation under mechanical stimulus , 2012 .
[22] Martin Rb. Porosity and specific surface of bone. , 1984 .
[23] Francesco dell’Isola,et al. Control of sound radiation and transmission by a piezoelectric plate with an optimized resistive electrode , 2010 .
[25] Dionisio Del Vescovo,et al. Comparison of piezoelectronic networks acting as distributed vibration absorbers , 2004 .
[26] Ugo Andreaus,et al. Optimal bone density distributions: Numerical analysis of the osteocyte spatial influence in bone remodeling , 2014, Comput. Methods Programs Biomed..
[27] F.dell'isola,et al. A variational approach for the deformation of a saturated porous solid. A second-gradient theory extending Terzaghi's effective stress principle , 2010, 1007.2084.
[28] A. Leriche,et al. Influence of porosity on the mechanical properties of microporous β-TCP bioceramics by usual and instrumented Vickers microindentation , 2011 .
[29] Huan Zhou,et al. Fabrication aspects of PLA-CaP/PLGA-CaP composites for orthopedic applications: a review. , 2012, Acta biomaterialia.
[30] Carlo Poggi,et al. Numerical analysis of fire effects on beam structures , 1988 .
[31] Tomasz Lekszycki,et al. A 2‐D continuum model of a mixture of bone tissue and bio‐resorbable material for simulating mass density redistribution under load slowly variable in time , 2014 .
[32] A. Cazzani,et al. On some mixed finite element methods for plane membrane problems , 1997 .
[33] Francesco dell’Isola,et al. On a model of layered piezoelectric beams including transverse stress effect , 2004 .
[34] J. A. Sanz-Herrera,et al. Modelling bioactivity and degradation of bioactive glass based tissue engineering scaffolds , 2011 .
[35] Antonio Carcaterra,et al. An Entropy Formulation for the Analysis of Energy Flow Between Mechanical Resonators , 2002 .
[36] A. Schilling,et al. Resorbability of bone substitute biomaterials by human osteoclasts. , 2004, Biomaterials.
[37] Ugo Andreaus,et al. MECHANICAL BEHAVIOUR OF A PROSTHESIZED HUMAN FEMUR: A COMPARATIVE ANALYSIS BETWEEN WALKING AND STAIR CLIMBING BY USING THE FINITE ELEMENT METHOD , 2008 .
[38] Gabriel Wittum,et al. Growth, mass transfer, and remodeling in fiber-reinforced, multi-constituent materials , 2012 .
[39] E. Fortunati,et al. Biodegradable polymer matrix nanocomposites for tissue engineering: A review , 2010 .
[40] Yves Rémond,et al. A second gradient continuum model accounting for some effects of micro-structure on reconstructed bone remodelling , 2012 .
[41] Ugo Andreaus,et al. Optimal-tuning PID control of adaptive materials for structural efficiency , 2011 .
[42] Victor A. Eremeyev,et al. Extended non‐linear relations of elastic shells undergoing phase transitions , 2007 .
[43] C. Laurencin,et al. Mechanical properties and osteocompatibility of novel biodegradable alanine based polyphosphazenes: Side group effects. , 2010, Acta biomaterialia.
[44] Tomasz Lekszycki,et al. A continuum model for the bio-mechanical interactions between living tissue and bio-resorbable graft after bone reconstructive surgery , 2011 .
[45] G. G. Stokes. "J." , 1890, The New Yale Book of Quotations.
[46] Angelo Luongo,et al. Perturbation Methods for Bifurcation Analysis from Multiple Nonresonant Complex Eigenvalues , 1997 .
[47] Wojciech Pietraszkiewicz,et al. The Nonlinear Theory of Elastic Shells with Phase Transitions , 2004 .
[48] L. Contrafatto,et al. Stress rate formulation for elastoplastic models with internal variables based on augmented Lagrangian regularisation , 2000 .
[49] Emanuele Reccia,et al. FEM-DEM Modeling for Out-of-plane Loaded Masonry Panels: A Limit Analysis Approach , 2012 .
[50] F. Darve,et al. A Continuum Model for Deformable, Second Gradient Porous Media Partially Saturated with Compressible Fluids , 2013 .
[51] Antonio Cazzani,et al. Numerical aspects of coupling strongly frequency-dependent soil–foundation models with structural finite elements in the time-domain , 2012 .
[52] W. Hayes,et al. The compressive behavior of bone as a two-phase porous structure. , 1977, The Journal of bone and joint surgery. American volume.
[53] Francesco dell’Isola,et al. Variational formulation of pre-stressed solid-fluid mixture theory, with an application to wave phenomena , 2008 .
[54] Victor A. Eremeyev,et al. Phase transitions in thermoelastic and thermoviscoelastic shells , 2008 .
[55] Luca Placidi,et al. A unifying perspective: the relaxed linear micromorphic continuum , 2013, Continuum Mechanics and Thermodynamics.
[56] A variational deduction of second gradient poroelasticity II: an application to the consolidation problem , 2008, 1007.2339.
[57] T. S. P. S.,et al. GROWTH , 1924, Nature.
[58] José Manuel García-Aznar,et al. Micro–macro numerical modelling of bone regeneration in tissue engineering , 2008 .
[59] U Andreaus,et al. Prediction of micromotion initiation of an implanted femur under physiological loads and constraints using the finite element method , 2009, Proceedings of the Institution of Mechanical Engineers. Part H, Journal of engineering in medicine.
[60] Ugo Andreaus,et al. Modeling of Trabecular Architecture as Result of an Optimal Control Procedure , 2013 .
[61] V. A. Eremeev,et al. Nonuniqueness and stability in problems of equilibrium of elastic two-phase bodies , 2003 .
[62] Luca Placidi,et al. The relaxed linear micromorphic continuum: Existence, uniqueness and continuous dependence in dynamics , 2013, 1308.3762.
[63] L. Contrafatto,et al. A globally convergent numerical algorithm for damaging elasto‐plasticity based on the Multiplier method , 2005 .
[64] Angelo Luongo,et al. Multiple Timescales Analysis for 1:2 and 1:3 Resonant Hopf Bifurcations , 2003 .
[65] Antonio Carcaterra,et al. Energy sinks: Vibration absorption by an optimal set of undamped oscillators , 2005 .
[66] François Ollivier,et al. Optimization of piezoelectric patch positioning for passive sound radiation control of plates , 2013 .
[67] A solid-fluid mixture model allowing for solid dilatation under external pressure , 2001, 1007.1926.
[68] C. Wożniak,et al. On Continuum Modelling the Interphase Layers in Certain Two‐Phase Elastic Solids , 1997 .
[69] Patrizio Neff,et al. A Geometrically Exact Micromorphic Model for Elastic Metallic Foams Accounting for Affine Microstructure. Modelling, Existence of Minimizers, Identification of Moduli and Computational Results , 2007 .
[70] F. dell’Isola,et al. A phenomenological approach to phase transition in classical field theory , 1987 .
[71] Antonio Rinaldi,et al. Rational Damage Model of 2D Disordered Brittle Lattices Under Uniaxial Loadings , 2009 .
[72] Francesco dell’Isola,et al. Extension of the Euler-Bernoulli model of piezoelectric laminates to include 3D effects via a mixed approach , 2006 .
[73] A. Meunier,et al. Tissue-engineered bone regeneration , 2000, Nature Biotechnology.
[74] Antonio Carcaterra,et al. ENERGY FLOW UNCERTAINTIES IN VIBRATING SYSTEMS: DEFINITION OF A STATISTICAL CONFIDENCE FACTOR , 2003 .
[75] T. Lekszycki. Modelling of Bone Adaptation Based on an Optimal Response Hypothesis* , 2002 .
[76] Stephen C. Cowin,et al. Linear elastic materials with voids , 1983 .
[77] G. Ventura,et al. Complementary energy approach to contact problems based on consistent augmented Lagrangian formulation , 1998 .
[78] Antonio Maria Cazzani,et al. An unsymmetric stress formulation for reissner-mindlin plates: a simple and locking-free rectangular element , 2004, Int. J. Comput. Eng. Sci..
[79] Francesco dell’Isola,et al. A mixture model with evolving mass densities for describing synthesis and resorption phenomena in bones reconstructed with bio‐resorbable materials , 2012 .
[80] Stephen C. Cowin,et al. A continuum theory for granular materials , 1972 .
[81] J. D. Eshelby. The determination of the elastic field of an ellipsoidal inclusion, and related problems , 1957, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.
[82] G S Beaupré,et al. An approach for time‐dependent bone modeling and remodeling—theoretical development , 1990, Journal of orthopaedic research : official publication of the Orthopaedic Research Society.
[83] Salvatore Federico,et al. On the linear elasticity of porous materials , 2010 .
[84] Luca Placidi,et al. Wave propagation in relaxed micromorphic continua: modeling metamaterials with frequency band-gaps , 2013, 1309.1722.
[85] F. dell'Isola,et al. A micro-structured continuum modelling compacting fluid-saturated grounds: the effects of pore-size scale parameter , 1998 .
[86] F. dell’Isola,et al. Dynamics of solids with microperiodic nonconnected fluid inclusions , 1997 .
[87] Marcelo Epstein,et al. Thermomechanics of volumetric growth in uniform bodies , 2000 .
[88] Dionisio Del Vescovo,et al. Multimode vibration control using several piezoelectric transducers shunted with a multiterminal network , 2009 .
[89] Antonio DiCarlo,et al. Growth and balance , 2002 .
[90] H. Zreiqat,et al. Bioceramics composition modulate resorption of human osteoclasts , 2005, Journal of materials science. Materials in medicine.
[91] Luca Placidi,et al. A microscale second gradient approximation of the damage parameter of quasi‐brittle heterogeneous lattices , 2014 .
[92] P. Neff,et al. The Cosserat couple modulus for continuous solids is zero viz the linearized Cauchy‐stress tensor is symmetric , 2006 .
[93] G. Rosi,et al. The effect of fluid streams in porous media on acoustic compression wave propagation, transmission, and reflection , 2013 .
[94] F. dell’Isola,et al. On phase transition layers in certain micro-damaged two-phase solids , 1997 .
[95] G. Maugin,et al. An Eshelbian approach to the nonlinear mechanics of constrained solid-fluid mixtures , 2010 .
[96] Angelo Luongo,et al. On the Reconstitution Problem in the Multiple Time-Scale Method , 1999 .
[97] Angelo Luongo,et al. Perturbation methods for nonlinear autonomous discrete-time dynamical systems , 1996 .
[98] Victor A. Eremeyev,et al. Thermomechanics of shells undergoing phase transition , 2011 .
[99] J A Frangos,et al. Review: Bone tissue engineering: The role of interstitial fluid flow , 1994, Biotechnology and bioengineering.
[100] Angelo Luongo,et al. Multiscale analysis of defective multiple-Hopf bifurcations , 2004 .
[101] J. Currey. The effect of porosity and mineral content on the Young's modulus of elasticity of compact bone. , 1988, Journal of biomechanics.
[102] Maurizio Porfiri,et al. Piezoelectric Passive Distributed Controllers for Beam Flexural Vibrations , 2004 .