Related references
Note: Only part of the references are listed.Mean Green operators of deformable fiber networks embedded in a compliant matrix and property estimates
Patrick Franciosi et al.
CONTINUUM MECHANICS AND THERMODYNAMICS (2019)
A model for bone mechanics and remodeling including cell populations dynamics
Alessio Ciro Rapisarda et al.
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK (2019)
A mathematical multiscale model of bone remodeling, accounting for pore space-specific mechanosensation
Maria-Ioana Pastrama et al.
BONE (2018)
Identification of a constitutive law for trabecular bone samples under remodeling in the framework of irreversible thermodynamics
Zineeddine Louna et al.
CONTINUUM MECHANICS AND THERMODYNAMICS (2018)
New description of gradual substitution of graft by bone tissue including biomechanical and structural effects, nutrients supply and consumption
Yanfei Lu et al.
CONTINUUM MECHANICS AND THERMODYNAMICS (2018)
Energy approach to brittle fracture in strain-gradient modelling
Luca Placidi et al.
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES (2018)
Two-dimensional strain gradient damage modeling: a variational approach
Luca Placidi et al.
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK (2018)
A STRAIN GRADIENT VARIATIONAL APPROACH TO DAMAGE: A COMPARISON WITH DAMAGE GRADIENT MODELS AND NUMERICAL RESULTS
Luca Placidi et al.
MATHEMATICS AND MECHANICS OF COMPLEX SYSTEMS (2018)
A GENERAL METHOD FOR THE DETERMINATION OF THE LOCAL ORTHOTROPIC DIRECTIONS OF HETEROGENEOUS MATERIALS: APPLICATION TO BONE STRUCTURES USING μCT IMAGES
Christophe Cluzel et al.
MATHEMATICS AND MECHANICS OF COMPLEX SYSTEMS (2018)
HETEROGENEOUS DIRECTIONS OF ORTHOTROPY IN THREE-DIMENSIONAL STRUCTURES: FINITE ELEMENT DESCRIPTION BASED ON DIFFUSION EQUATIONS
Rachele Allena et al.
MATHEMATICS AND MECHANICS OF COMPLEX SYSTEMS (2018)
The influence of different geometries of matrix/scaffold on the remodeling process of a bone and bioresorbable material mixture with voids
Ivan Giorgio et al.
MATHEMATICS AND MECHANICS OF SOLIDS (2017)
Formulation of an effective growth response of trabecular bone based on micromechanical analyses at the trabecular level
Zineeddine Louna et al.
ARCHIVE OF APPLIED MECHANICS (2017)
Modeling of a non-local stimulus for bone remodeling process under cyclic load: Application to a dental implant using a bioresorbable porous material
Ivan Giorgio et al.
MATHEMATICS AND MECHANICS OF SOLIDS (2017)
Modelling of bone fracture healing: influence of gap size and angiogenesis into bioresorbable bone substitute
Yanfei Lu et al.
MATHEMATICS AND MECHANICS OF SOLIDS (2017)
Higher-gradient continua: The legacy of Piola, Mindlin, Sedov and Toupin and some future research perspectives
Francesco dell'Isola et al.
MATHEMATICS AND MECHANICS OF SOLIDS (2017)
Alzheimer's Disease and the Quest for Causation
Thoru Pederson
FASEB JOURNAL (2017)
LINEAR MICROPOLAR ELASTICITY ANALYSIS OF STRESSES IN BONES UNDER STATIC LOADS
V. A. Eremeyev et al.
STRENGTH OF MATERIALS (2017)
Multiphysics of bone remodeling: A 2D mesoscale activation simulation
C. Spingarn et al.
BIO-MEDICAL MATERIALS AND ENGINEERING (2017)
Viscous second gradient porous materials for bones reconstructed with bio-resorbable grafts
Ivan Giorgio et al.
EXTREME MECHANICS LETTERS (2017)
Material symmetry group and constitutive equations of micropolar anisotropic elastic solids
Victor A. Eremeyev et al.
MATHEMATICS AND MECHANICS OF SOLIDS (2016)
Modelling of bone fracture and strength at different length scales: a review
Fereshteh A. Sabet et al.
INTERFACE FOCUS (2016)
A visco-poroelastic model of functional adaptation in bones reconstructed with bio-resorbable materials
Ivan Giorgio et al.
BIOMECHANICS AND MODELING IN MECHANOBIOLOGY (2016)
Combined bone internal and external remodeling based on Eshelby stress
Ibrahim Goda et al.
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES (2016)
Phase field approaches of bone remodeling based on TIP
Jean-Francois Ganghoffer et al.
JOURNAL OF NON-EQUILIBRIUM THERMODYNAMICS (2016)
Optimal internal architectures of femoral bone based on relaxation by homogenization and isotropic material design
Ibrahim Goda et al.
MECHANICS RESEARCH COMMUNICATIONS (2016)
Application of the Micropolar Theory to the Strength Analysis of Bioceramic Materials for Bone Reconstruction
V. A. Eremeyev et al.
STRENGTH OF MATERIALS (2016)
A novel mathematical model for growth of capillaries and nutrient supply with application to prediction of osteophyte onset
Ewa Bednarczyk et al.
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK (2016)
A novel coupled system of non-local integro-differential equations modelling Young's modulus evolution, nutrients' supply and consumption during bone fracture healing
Yanfei Lu et al.
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK (2016)
The influence of different loads on the remodeling process of a bone and bioresorbable material mixture with voids
Ivan Giorgio et al.
CONTINUUM MECHANICS AND THERMODYNAMICS (2016)
GRADIENT MATERIALS WITH INTERNAL CONSTRAINTS
Albrecht Bertram et al.
MATHEMATICS AND MECHANICS OF COMPLEX SYSTEMS (2016)
Method of potentials in elastostatics of solids with double porosity
D. Iesan
INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE (2015)
At the origins and in the vanguard of peridynamics, non-local and higher-gradient continuum mechanics: An underestimated and still topical contribution of Gabrio Piola
Francesco dell'Isola et al.
MATHEMATICS AND MECHANICS OF SOLIDS (2015)
Modeling of the interaction between bone tissue and resorbable biomaterial as linear elastic materials with voids
Ugo Andreaus et al.
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK (2015)
IDENTIFICATION OF HIGHER-ORDER ELASTIC CONSTANTS FOR GRAIN ASSEMBLIES BASED UPON GRANULAR MICROMECHANICS
Anil Misra et al.
MATHEMATICS AND MECHANICS OF COMPLEX SYSTEMS (2015)
ON THE CONSTITUTIVE EQUATIONS OF VISCOELASTIC MICROPOLAR PLATES AND SHELLS OF DIFFERENTIAL TYPE
Holm Altenbach et al.
MATHEMATICS AND MECHANICS OF COMPLEX SYSTEMS (2015)
A 3D elastic micropolar model of vertebral trabecular bone from lattice homogenization of the bone microstructure
I. Goda et al.
BIOMECHANICS AND MODELING IN MECHANOBIOLOGY (2014)
Interstitial fluid flow within bone canaliculi and electro-chemo-mechanical features of the canalicular milieu
Vittorio Sansalone et al.
BIOMECHANICS AND MODELING IN MECHANOBIOLOGY (2013)
Coupling systems biology with multiscale mechanics, for computer simulations of bone remodeling
Stefan Scheiner et al.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING (2013)
A second gradient continuum model accounting for some effects of micro-structure on reconstructed bone remodelling
Angela Madeo et al.
COMPTES RENDUS MECANIQUE (2012)
Equivalent mechanical properties of auxetic lattices from discrete homogenization
F. Dos Reis et al.
COMPUTATIONAL MATERIALS SCIENCE (2012)
Cosserat 3D anisotropic models of trabecular bone from the homogenisation of the trabecular structure
I. Goda et al.
COMPUTER METHODS IN BIOMECHANICS AND BIOMEDICAL ENGINEERING (2012)
An optimal control procedure for bone adaptation under mechanical stimulus
Ugo Andreaus et al.
CONTROL ENGINEERING PRACTICE (2012)
A micropolar anisotropic constitutive model of cancellous bone from discrete homogenization
I. Goda et al.
JOURNAL OF THE MECHANICAL BEHAVIOR OF BIOMEDICAL MATERIALS (2012)
The contribution of bone to whole-organism physiology
Gerard Karsenty et al.
NATURE (2012)
A mixture model with evolving mass densities for describing synthesis and resorption phenomena in bones reconstructed with bio-resorbable materials
Tomasz Lekszycki et al.
ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK (2012)
Osteoblasts in Bone Physiology-Mini Review
Nahum Rosenberg et al.
RAMBAM MAIMONIDES MEDICAL JOURNAL (2012)
On the rotary remodelling equilibrium of bone
V. Sansalone et al.
COMPUTER METHODS IN BIOMECHANICS AND BIOMEDICAL ENGINEERING (2011)
Determination of dynamically adapting anisotropic material properties of bone under cyclic loading
Silke Besdo
JOURNAL OF BIOMECHANICS (2011)
DISSIPATION ENERGY AS A STIMULUS FOR CORTICAL BONE ADAPTATION
Natarajan Chennimalai Kumar et al.
JOURNAL OF MECHANICS OF MATERIALS AND STRUCTURES (2011)
Dynamics of the transition from osteoblast to osteocyte
Sarah L. Dallas et al.
SKELETAL BIOLOGY AND MEDICINE (2010)
Modelling of the transport in electrically charged porous media including ionic exchanges
Thibault Lemaire et al.
MECHANICS RESEARCH COMMUNICATIONS (2010)
Droplet minimizers for the Gates-Lebowitz-Penrose free energy functional
E. A. Carlen et al.
NONLINEARITY (2009)
The osteocyte lineage
Brendon S. Noble
ARCHIVES OF BIOCHEMISTRY AND BIOPHYSICS (2008)
Model structure and control of bone remodeling: A theoretical study
Peter Pivonka et al.
BONE (2008)
Direct approach-based analysis of plates composed of functionally graded materials
Holm Altenbach et al.
ARCHIVE OF APPLIED MECHANICS (2008)
A mathematical model for simulating the bone remodeling process under mechanical stimulus
Iianying Li et al.
DENTAL MATERIALS (2007)
Application of fracture mechanics concepts to hierarchical biomechanics of bone and bone-like materials
Huajian Gao
INTERNATIONAL JOURNAL OF FRACTURE (2006)
An anisotropic flow law for incompressible polycrystalline materials
L Placidi et al.
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK (2005)
A theoretical framework for strain-related trabecular bone maintenance and adaptation
R Ruimerman et al.
JOURNAL OF BIOMECHANICS (2005)
Modelling bone tissue fracture and healing:: a review
M Doblaré et al.
ENGINEERING FRACTURE MECHANICS (2004)
Mathematical model predicts a critical role for osteoclast autocrine regulation in the control of bone remodeling
SV Komarova et al.
BONE (2003)
Size effects in the elasticity and viscoelasticity of bone
P. M. Buechner et al.
BIOMECHANICS AND MODELING IN MECHANOBIOLOGY (2003)
Truss modular beams with deformation energy depending on higher displacement gradients
JJ Alibert et al.
MATHEMATICS AND MECHANICS OF SOLIDS (2003)
If bone is the answer, then what is the question?
R Huiskes
JOURNAL OF ANATOMY (2000)
Viscoelastic dissipation in compact bone: Implications for stress-induced fluid flow in bone
E Garner et al.
JOURNAL OF BIOMECHANICAL ENGINEERING-TRANSACTIONS OF THE ASME (2000)