In-depth gaze at the astonishing mechanical behavior of bone: A review for designing bio-inspired hierarchical metamaterials
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Publication:5103850
DOI10.1177/1081286520978516OpenAlexW3116269626WikidataQ118359304 ScholiaQ118359304MaRDI QIDQ5103850
Ivan Giorgio, Mario Spagnuolo, Daria Scerrato, Ugo A. Andreaus, Alberto Maria Bersani
Publication date: 9 September 2022
Published in: Mathematics and Mechanics of Solids (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1177/1081286520978516
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Cites Work
- Unnamed Item
- The influence of different loads on the remodeling process of a bone and bioresorbable material mixture with voids
- A novel coupled system of non-local integro-differential equations modelling Young's modulus evolution, nutrients' supply and consumption during bone fracture healing
- A second gradient formulation for a 2D fabric sheet with inextensible fibres
- A novel mathematical model for growth of capillaries and nutrient supply with application to prediction of osteophyte onset
- Two-dimensional strain gradient damage modeling: a variational approach
- Boundary conditions at fluid-permeable interfaces in porous media: a variational approach
- Variational formulation of pre-stressed solid-fluid mixture theory, with an application to wave phenomena
- Cosserat modeling of cellular solids
- Determination of the parameters of cancellous bone using high frequency acoustic measurements
- Linear elastic materials with voids
- Elastic materials with couple-stresses
- A nonlinear theory of elastic materials with voids
- Bone remodelling. I: Theory of adaptive elasticity
- A second gradient material resulting from the homogenization of an heterogeneous linear elastic medium
- A variational model based on isogeometric interpolation for the analysis of cracked bodies
- Method of potentials in elastostatics of solids with double porosity
- An alternative approach to Michaelis-Menten kinetics that is based on the renormalization group
- A strain gradient variational approach to damage: a comparison with damage gradient models and numerical results
- Bias extension test for pantographic sheets: numerical simulations based on second gradient shear energies
- Strain gradient and generalized continua obtained by homogenizing frame lattices
- Modelling of bone adaptation based on an optimal response hypothesis
- Locking-free variational formulations and isogeometric analysis for the Timoshenko beam models of strain gradient and classical elasticity
- A theory for internal bone remodeling based on interstitial fluid velocity stimulus function
- On the possible effective elasticity tensors of 2-dimensional and 3-dimensional printed materials
- Directional properties of fibre network materials evaluated by means of discrete homogenization
- A new comprehensive approach for bone remodeling under medium and high mechanical load based on cellular activity
- Continuum theory for mechanical metamaterials with a cubic lattice substructure
- Biomimetic approach to compliance optimization and multiple load cases
- A multiphysics stimulus for continuum mechanics bone remodeling
- Heterogeneous directions of orthotropy in three-dimensional structures: finite element description based on diffusion equations
- A general method for the determination of the local orthotropic directions of heterogeneous materials: application to bone structures using \({\mu}\mathrm{CT}\) images
- Modeling of the interaction between bone tissue and resorbable biomaterial as linear elastic materials with voids
- A theory for bone resorption based on the local rupture of osteocytes cells connections: a finite element study
- Micro-structure in linear elasticity
- New trends and perspectives in nonlinear intracellular dynamics: one century from Michaelis-Menten paper
- Modeling of an initial stage of bone fracture healing
- An isogeometric implicit \(G^1\) mixed finite element for Kirchhoff space rods
- Constitutive models for strongly curved beams in the frame of isogeometric analysis
- Material symmetry group and constitutive equations of micropolar anisotropic elastic solids
- A mixture model with evolving mass densities for describing synthesis and resorption phenomena in bones reconstructed with bio-resorbable materials
- 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
- Tissue Mechanics
- Generalized Hooke's law for isotropic second gradient materials
- Truss Modular Beams with Deformation Energy Depending on Higher Displacement Gradients
- Energy approach to brittle fracture in strain-gradient modelling
- Modeling of a non-local stimulus for bone remodeling process under cyclic load: Application to a dental implant using a bioresorbable porous material
- Mechanically-driven bone remodeling simulation: Application to LIPUS treated rat calvarial defects
- Modelling of bone fracture healing: influence of gap size and angiogenesis into bioresorbable bone substitute
- Gradient Theory of Media with Conserved Dislocations: Application to Microstructured Materials
- A GEOMETRICAL FRAMEWORK FOR THE STATICS OF MATERIALS WITH MICROSTRUCTURE
- Vacancies for controlling the behavior of microstructured three-dimensional mechanical metamaterials
- Influence of bone microstructure distribution on developed mechanical energy for bone remodeling using a statistical reconstruction method
- Peridynamics review
- Stiffness optimization in nonlinear pantographic structures
- Mechanical metamaterials: a state of the art
- Isogeometric analysis of plane-curved beams
- Symmetry conditions in strain gradient elasticity
- The influence of different geometries of matrix/scaffold on the remodeling process of a bone and bioresorbable material mixture with voids
- The postulations á la D’Alembert and á la Cauchy for higher gradient continuum theories are equivalent: a review of existing results
- Bending problems in the theory of elastic materials with voids and surface effects
- 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
- Mechanobiological free energy: a variational approach to tensional homeostasis in tissue equivalents
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