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Gibson, Lorna J.
1
;
Ashby, Michael F.
2
Cellular Solids: Structure and Properties (2nd ed.)
Cambridge Solid State Science Series
Cambridge University Press; Cambridge, UK; 1997
Affiliations
1
Department of Materials Science and Engineering,
Massachusetts Institute of Technology
, Cambridge, MA 02139, USE
2
Cambridge University
Engineering Department, Cambridge, UK
Links
ISBN:
978-0521495608
Cited By (117)
Year
Entry
2001
Keaveny TM. Strength of trabecular bone. In: Cowin SC, ed.
Bone Mechanics Handbook
. 2nd ed. Boca Raton, FL: CRC Press; 2001:16-1–16-42.
2002
Currey JD.
Bones: Structure and Mechanics
. Princeton, NJ: Princeton University Press; 2002.
2005
Avalle M, Belingardi G, Ibba A. Mechanical models of cellular solids, parameters identification from experimental tests. In:
Proceedings of the 19th International Technical Conference on the Enhanced Safety of Vehicles (ESV)
. June 6-9, 2005; Washington, DC.
2001
Keaveny TM, Morgan EF, Niebur GL, Yeh OC. Biomechanics of trabecular bone.
Annu Rev Biomed Eng
. 2001;3:307-333.
2002
Zein I, Hutmacher DW, Tan KC, Teoh SH. Fused deposition modeling of novel scaffold architectures for tissue engineering applications.
Biomaterials
. February 15, 2002;23(4):1169-1185.
2020
Kirby M, Morshed AH, Gomez J, Xiao P, Hu Y, Guo XE, Wang X. Three-dimensional rendering of trabecular bone microarchitecture using a probabilistic approach.
Biomech Model Mechanobiol
. August 2020;19(4):1263-1281.
2020
Kladovasilakis N, Tsongas K, Tzetzis D. Finite element analysis of orthopedic hip implant with functionally graded bioinspired lattice structures.
Biomimetics
. September 2020;5(3):44.
2008
Nazarian A, von Stechow D, Zurakowski D, Müller R, Snyder BD. Bone volume fraction explains the variation in strength and stiffness of cancellous bone affected by metastatic cancer and osteoporosis.
Calcif Tiss Int
. December 2008;83(6):368-379.
2009
Dai G, Zhang W. Cell size effect analysis of the effective Young’s modulus of sandwich core.
Comp Mater Sci
. 2009;46(3):744-748.
2015
Goda I, Ganghoffer J-F. 3D plastic collapse and brittle fracture surface models of trabecular bone from asymptotic homogenization method.
Int J Eng Sci
. February 2015;87:58-82.
2000
Lee TC, O'Brien FJ, Taylor D. The nature of fatigue damage in bone.
Int J Fract
. November 2000;22(10):847-853.
2001
Onck PR, Andrews EW, Gibson LJ. Size effects in ductile cellular solids, I: modeling.
Int J Mech Sci
. 2001;43(3):681-699.
2006
Lee S, Barthelat F, Moldovan N, Espinosa HD, Wadley HNG. Deformation rate effects on failure modes of open-cell al foams and textile cellular materials.
Int J Solids Struct
. January 2006;43(1):53-73.
2001
Morgan EF, Keaveny TM. Dependence of yield strain of human trabecular bone on anatomic site.
J Biomech
. 2001;34(5):569-577.
2002
Kim HS, Al-Hassan STS. A morphological model of vertebral trabecular bone.
J Biomech
. August 2002;35(8):1101-1114.
2002
Hellmich C, Ulm F-J. Are mineralized tissues open crystal foams reinforced by crosslinked collagen? some energy arguments.
J Biomech
. September 2002;35(9):1199-1212.
2003
Morgan EF, Bayraktar HH, Keaveny TM. Trabecular bone modulus–density relationships depend on anatomic site.
J Biomech
. July 2003;36(7):897-904.
2004
Bayraktar HH, Keaveny TM. Mechanisms of uniformity of yield strains for trabecular bone.
J Biomech
. November 2004;37(11):1671-1678.
2005
Gibson LJ. Biomechanics of cellular solids.
J Biomech
. 2005;38(3):377-399.
2007
Dong RG, Dong JH, Wu JZ, Rakheja S. Modeling of biodynamic responses distributed at the fingers and the palm of the human hand–arm system.
J Biomech
. 2007;40(10):2335-2340.
2007
Nazarian A, Muller J, Zurakowski D, Müller R, Snyder BD. Densitometric, morphometric and mechanical distributions in the human proximal femur.
J Biomech
. 2007;40(11):2573-2579.
2008
Dendorfer S, Maier HJ, Taylor D, Hammer J. Anisotropy of the fatigue behaviour of cancellous bone.
J Biomech
. 2008;41(3):636-641.
2008
Burgers TA, Mason J, Niebur G, Ploeg HL. Compressive properties of trabecular bone in the distal femur.
J Biomech
. 2008;41(5):1077-1085.
2008
Zioupos P, Cook RB, Hutchinson JR. Some basic relationships between density values in cancellous and cortical bone.
J Biomech
. 2008;41(9):1961-1968.
2009
Bevill G, Farhamand F, Keaveny TM. Heterogeneity of yield strain in low-density versus high-density human trabecular bone.
J Biomech
. September 18, 2009;42(13):2165-2170.
2011
Brynk T, Hellmich C, Fritsch A, Zysset P, Eberhardsteiner J. Experimental poromechanics of trabecular bone strength: role of Terzaghi's effective stress and of tissue level stress fluctuations.
J Biomech
. 2011;44(3):501-508.
2013
Nawathe S, Juillard F, Keaveny TM. Theoretical bounds for the influence of tissue-level ductility on the apparent-level strength of human trabecular bone.
J Biomech
. April 26, 2013;46(7):1293-1299.
1999
Fenech CM, Keaveny TM. A cellular solid criterion for predicting the axial-shear failure properties of bovine trabecular bone.
J Biomech Eng
. August 1999;121(4):414-422.
2000
Vajjhala S, Kraynik AM, Gibson LJ. A cellular solid model for modulus reduction due to resorption of trabeculae in bone.
J Biomech Eng
. October 2000;122(5):511-515.
2001
Arthur Moore TL, Gibson LJ. Modeling modulus reduction in bovine trabecular bone damaged in compressio.
J Biomech Eng
. December 2001;123(6):613-622.
2004
Moore TLA, O’Brien FJ, Gibson LJ. Creep does not contribute to fatigue in bovine trabecular bone.
J Biomech Eng
. June 2004;126(3):321-329.
2009
Chevalier Y, Pahr D, Zysset PK. The role of cortical shell and trabecular fabric in finite element analysis of the human vertebral body.
J Biomech Eng
. November 2009;131(11):111003.
2001
Hutmacher DW, Schantz T, Zein I, Ng KW, Teoh SH, Tan KC. Mechanical properties and cell cultural response of polycaprolactone scaffolds designed and fabricated via fused deposition modeling.
J Biomed Mater Res
. May 2001;55(2):203-216.
2005
Nazarian A, Stauber M, Müller R. Design and implementation of a novel mechanical testing system for cellular solids.
J Biomed Mater Res
. 2005;B73(2):400-411.
2001
van der Linden JC, Homminga J, Verhaar JAN, Weinans H. Mechanical consequences of bone loss in cancellous bone.
J Bone Miner Res
. March 2001;16(3):457-465.
2009
Dendorfer S, Maier HJ, Hammer J. Fatigue damage in cancellous bone: an experimental approach from continuum to micro scale.
J Mech Behav Biomed Mater
. January 2009;2(1):113-119.
2012
Kefalas V, Eftaxiopoulos DA. Experimental study of cancellous bone under large strains and a constitutive probabilistic model.
J Mech Behav Biomed Mater
. February 2012;6:41-52.
2013
Depalle B, Chapurlat R, Walter-Le-Berre H, Bou-Saïd B, Follet H. Finite element dependence of stress evaluation for human trabecular bone.
J Mech Behav Biomed Mater
. February 2013;18:200-212.
2019
Alexander SL, Gunnarsson CA, Weerasooriya T. Influence of the mesostructure on the compressive mechanical response of adolescent porcine cranial bone.
J Mech Behav Biomed Mater
. August 2019;96:96-107.
2004
Hong J, Cabe GD, Tedrow JR, Hipp JA, Snyder BD. Failure of trabecular bone with simulated lytic defects can be predicted non-invasively by structural analysis.
J Orthop Res
. May 2004;22(3):479-486.
2009
Fritsch A, Hellmich C, Dormieux L. Ductile sliding between mineral crystals followed by rupture of collagen crosslinks: experimentally supported micromechanical explanation of bone strength.
J Theo Biol
. September 21, 2009;260(2):230-252.
2012
Moesen M, Cardoso L, Cowin SC. A symmetry invariant formulation of the relationship between the elasticity tensor and the fabric tensor.
Mech Mater
. November 2012;54:70-83.
2008
Cui W-Q, Won Y-Y, Baek M-H, Lee D-H, Chung Y-S, Hur J-H, Ma Y-Z. Age-and region-dependent changes in three-dimensional microstructural properties of proximal femoral trabeculae.
Osteoporos Int
. 2008;19(11):1579-1587.
2004
Wegst UGK, Ashby MF. The mechanical efficiency of natural materials.
Philos Mag
. July 21, 2004;84(21):2167-2181.
2019
Torres AM, Trikanad AA, Aubin CA, Lambers FM, Luna M, Rimnac CM, Zavattieri P, Hernandez CJ. Bone-inspired microarchitectures achieve enhanced fatigue life.
Proc Natl Acad Sci USA
. December 3, 2019;116(49):24457-24462.
2008
Meyers MA, Chen P-Y, Lin AY-M, Seki Y. Biological materials: structure and mechanical properties.
Prog Mater Sci
. January 2008;53(1):1-206.
2021
Felder AA, Monzem S, De Souza R, Javaheri B, Mills D, Boyde A, Doube M. The plate-to-rod transition in trabecular bone loss is elusive.
R Soc Open Sci
. June 9, 2021;8(5):201401.
2002
Pasini D.
A New Theory for Modelling the Mass Efficiency of Material, Shape and Form
[PhD thesis]. Bristol, UK: University of Bristol; December 2002.
2018
Butcher AL.
Deformation and Fracture of Soft Materials for Cartilage Tissue Engineering
[PhD thesis]. Cambridge, UK: University of Cambridge; May 2018.
2011
Cotter MM.
Gross Morphology, Microarchitecture, Strength and Evolution of the Hominoid Vertebral Body
[PhD thesis]. Cleveland, OH: Case Western Reserve University; May 2011.
2012
Song MJ.
Elucidating the Mechanical Milieu of Stem Cells in Situ and Delivering Mechanical Signals to Direct Cell Fate in Tissue Engineering Scaffolds
[PhD thesis]. Cleveland, OH: Case Western Reserve University; August 2012.
2017
Cresswell EN.
Spatial Regulation of Bone Formation in Functional Adaptation of Cancellous Bone
[PhD thesis]. Ithaca, NY: Cornell University; May 2017.
2018
Torres AM.
Fatigue Behavior of Cancellous Bone, Microdamage Accumulation, and Biologically Inspired Cellular Solids
[PhD thesis]. Ithaca, NY: Cornell University; August 2018.
2019
Middendorf JM.
Establishing New Standards for Cartilage Repair: The Structure-Function Relationship of Human Tissue Engineered Cartilage
[PhD thesis]. Ithaca, NY: Cornell University; June 2019.
2021
Sacher S.
Characterization of Trabecular Morphology, Microdamage Accumulation, and Collagen Crosslinking in Bone Tissue from Individuals With Type II Diabetes Mellitus
[Master's thesis]. Ithaca, NY: Cornell University; May 2021.
2005
Cook RB.
Non-Invasively Assessed Skeletal Bone Status and Its Relationship to the Biomechanical Properties and Condition of Cancellous Bone
[PhD thesis]. Cranfield, UK: Cranfield University; December 18, 2005.
2005
Ho EY.
Engineering Bioactive Polymers for the Next Generation of Bone Repair
[PhD thesis]. Drexel University; April 2005.
2016
Florencio FL.
Multiscale Modelling of Trabecular Bone: From Micro to Macroscale
[PhD thesis]. Edinburgh, Scotland: University of Edinburgh; 2016.
2019
Bin Rosli AH.
Characterisation of Trabecular Bone Behaviour Under Impact
[PhD thesis]. Edinburgh, Scotland: University of Edinburgh; 2019.
2005
Day JS.
Bone Quality: The Mechanical Effects of Microarchitecture and Matrix Properties
[PhD thesis]. Erasmus University Rotterdam; 2005.
2008
Nazarian A.
Relative Interaction of Material and Structure in Normal and Pathologic Bone
[PhD thesis]. Swiss Federal Institute of Technology Zürich; 2008.
2011
Wong JC-H.
Macroporous Polymers from Particle-Stabilized Foams for Ferroelectrets
[PhD thesis]. Swiss Federal Institute of Technology Zürich; 2011.
2007
Ali M.
Study of a Compact Energy Absorber
[PhD thesis]. University of Toronto; 2007.
2012
Hamed E.
Multiscale Modeling of Elastic Moduli and Strength of Bone
[PhD thesis]. University of Illinois at Urbana-Champaign; 2012.
2020
de Victoria Pereira Rebelo EA.
Injury and Protection of the Foot and Ankle in Under-Body Blast
[PhD thesis]. Imperial College London; August 2020.
2002
Follet H.
Caractérisation Biomécanique Et Modélisation 3D Par Imagerie X Et IRM Haute Résolution De L’os Spongieux Humain: Evaluation Du Risque Fracturaire
[PhD thesis]. Institut national des sciences appliquées de Lyon (INSA Lyon); 2002.
2008
Jaumard N.
Mechanical and Electromechanical Characterization of a Novel Composite Cellular Solid for Orthopaedic Applications
[PhD thesis]. Lawrence, KS: University of Kansas; 2008.
2008
Singh M.
Osteochondral Tissue Engineering for the TMJ Condyle Using a Novel Gradient Scaffold
[PhD thesis]. Lawrence, KS: University of Kansas; 2008.
2009
Moesen M.
Modeling of the Geometry and Mechanical Behavior of Bone Scaffolds
[PhD thesis]. Katholieke Universiteit Leuven; June 2009.
2014
Badrieh A.
Multi-Objective Optimization of a Lattice Structure: Application to the Design of a Pedestrian Bridge
[Master's thesis]. McGill University; August 2014.
2001
Arthur Moore TL.
Microdamage Accumulation in Bovine Trabecular Bone
[PhD thesis]. Cambridge, MA: Massachusetts Institute of Technology; June 2001.
2010
Johnson TPM.
On the Rate-Dependent Constitutive Response of Cortical and Trabecular Bone
[PhD thesis]. Cambridge, MA: Massachusetts Institute of Technology; September 2010.
2013
Pino W.
Computational Modeling of Trabecular Bone in Lower Extremity Injuries Due to Impact
[Master's thesis]. Cambridge, MA: Massachusetts Institute of Technology; June 2013.
2016
Rush GA.
Design of an American Football Helmet Liner for Concussion Mitigation
[PhD thesis]. Mississippi State University; August 2016.
2006
Nebosky PS Jr.
Porous Metal Scaffolds for Bone Ingrowth
[PhD thesis]. University of Notre Dame; April 2006.
2008
Converse GL.
Processing and Properties of Hydroxyapaptite Whisker Reinforced Polyaryletherketones for Orthopaedic Applications
[PhD thesis]. University of Notre Dame; April 2008.
2022
Giustina A.
Development of an Effective Reusable Crash Absorber Based on an Improved Negative Stiffness Honeycomb Approach
[Master's thesis]. Politecnico di Milano; 2022.
2012
Tozzi G.
In Vitro Studies of Bone-Cement Interface and Related Work on Cemented Acetabular Replacement
[PhD thesis]. Portsmouth, England: University of Portsmouth; May 29, 2012.
2011
Ahmed F.
Multiscale Quantitative Imaging of Human Femoral Heads Using X-Ray Microtomography
[PhD thesis]. Queen Mary University of London; 2011.
2019
Kendall P.
The Effects of Adhesive Quantity on Out-of-Plane Behaviour in Aluminum Honeycomb Panels
[Master's thesis]. Queen's University; December 2019.
2023
Issa T.
Mechanical Testing and Material Modelling of Rigid Polyurethane Foam, a Bone Surrogate
[Master's thesis]. Queen's University; August 2023.
2014
van Grunsven W.
Porous Metal Implants for Enhanced Bone Ingrowth and Stability
[PhD thesis]. University of Sheffield; September 2014.
2009
Alwood JS.
Radiation and Mechanical Unloading Effects on Mouse Vertebral Bone: Ground-Based Models of the Spaceflight Environment
[PhD thesis]. Stanford University; September 2009.
2004
Prommin D.
Compressive Behavior of Trabecular Bone in the Proximal Tibia Using a Cellular Solid Model
[PhD thesis]. Texas A&M University; August 2004.
2000
O’Brien FJ.
Microcracks and the Fatigue Behaviour of Compact Bone
[PhD thesis]. Trinity College Dublin; October 2000.
2004
Shimko DA.
Design and Optimization of a Tissue-Engineered Bone Graft Substitute
[PhD thesis]. Tulane University; 2004.
2020
Stipsitz M.
Development of a Nonlinear Micro Finite Element Framework for Image-Based Simulations in Bone Biomechanics
[PhD thesis]. Vienna University of Technology; 2020.
2000
Niebur GL.
A Computational Investigation of Multiaxial Failure in Trabecular Bone
[PhD thesis]. Berkeley, CA: Berkeley, University of California; 2000.
2002
Morgan EF-i.
The Dependence on Anatomic Site of Trabecular Bone Structure-Function Relationships
[PhD thesis]. Berkeley, CA: Berkeley, University of California; 2002.
2003
Bayraktar HH.
Multiaxial Strength and Micromechanics of Human Bone
[PhD thesis]. Berkeley, CA: Berkeley, University of California; 2003.
2008
Bevill GR.
Micromechanical Modeling of Failure in Trabecular Bone
[PhD thesis]. Berkeley, CA: Berkeley, University of California; 2008.
2014
Nawathe S.
Micromechanics of the Human Proximal Femur: Role of Microstructure and Tissue-Level Ductility on Femoral Strength
[PhD thesis]. Berkeley, CA: Berkeley, University of California; 2014.
2013
Wang Y-K.
Multi-Level Micromechanical Modeling of Bone Tissues
[PhD thesis]. Los Angeles, CA: Los Angeles, University of California; 2013.
2012
Evdokimenko E.
Investigation Into Mechanical Properties of Bone and Its Main Constituents
[PhD thesis]. San Diego (UCSD), University of California; 2012.
2009
Kusoglu A.
Mechanical Characterization of Perfluorosulfonic Acid (PFSA) Ionomer Membranes
[PhD thesis]. University of Delaware; Summer 2009.
2007
Ruffoni D.
Modeling of Material and Architectural Quality of Trabecular Bone
[PhD thesis]. Liège, Belgique: Université de Liège; September 2007.
2005
Oyen ML.
Ultrastructural Characterization of Time-Dependent, Inhomogeneous Materials and Tissues
[PhD thesis]. Minneapolis, MN: University of Minnesota; June 2005.
2012
Barkaoui A.
Modélisation multiéchelle du comportement mécano-biologique de l’os humain: De l’ultrastructure au remodelage osseux
[PhD thesis]. University of Orleans; 2012.
2010
Ahmed AF.
Design, Fabrication, and Analysis of Foam Composite Structures With Metal Inserts
[PhD thesis]. University of Ottawa; 2010.
2016
Lippa NM.
Energy Management Mechanisms Employed At the Human-Material Interface of Traditional and Minimalist Shod Running
[PhD thesis]. Hattiesburg, MS: University of Southern Mississippi; May 2016.
2007
Chu RKM.
Synthesis and Characterization of Rotational Molded Polymeric Foams for Optimal Acoustic Absorption
[Master's thesis]. University of Toronto; 2007.
2008
Kim S-G.
A Study on the Foaming Behavior of Thermoplastic Polyolefin (TPO) Blends
[PhD thesis]. University of Toronto; 2008.
2010
Lee EK.
Novel Manufacturing Processes for Polymer Bead Foams
[PhD thesis]. University of Toronto; 2010.
2014
Chu RKM.
Open-Cell Foaming With Injection Molding
[PhD thesis]. University of Toronto; 2014.
2014
Ghaffari Mosanenzadeh S.
Design, Characterization and Modeling of Biobased Acoustic Foams
[PhD thesis]. University of Toronto; January 1, 2014.
2020
Ghaffari Mosanenzadeh S.
Multifunctional Polyimide Aerogels With Tailored Nanostructure Assembly and Enhanced Properties
[PhD thesis]. University of Toronto; 2020.
2020
Rezaei S.
Development of Novel Hybrid Silica Aerogels With a Reticulated Structure Using New Generation of Marcromolecular Precursors
[PhD thesis]. University of Toronto; June 2020.
2023
Buahom P.
Theoretical Modeling and Optimization of Thermal Transport in Thermal Insulation Foams
[PhD thesis]. University of Toronto; June 2023.
2015
Morshed AHMM.
Statistical Representation and Rendering of Trabecular Bone Microstructure
[Master's thesis]. San Antionio, TX: University of Texas at San Antonio; May 2015.
2011
Sharafi B.
Micromechanical Modeling of Skeletal Muscle: Insights Into Structure and Function At the Fiber and Fascicle Levels
[PhD thesis]. Charlottesville, VA: University of Virginia; May 2011.
2015
Singh D.
Investigation of Primary Blast Injury and Protection Using Sagittal and Transverse Finite Element Head Models
[Master's thesis]. University of Waterloo; 2015.
2018
Dapaah DY.
An Experimentally Validated Continuum Damage Mechanics Model of the Micro-Damage Process Zone During Cortical Bone Fracture
[Master's thesis]. University of Waterloo; 2018.
2018
Khor F.
Computational Modeling of Hard Tissue Response and Fracture in the Lower Cervical Spine Under Compression Including Age Effects
[Master's thesis]. University of Waterloo; 2018.
2008
Burgers TA.
Press-Fit Fixation and Viscoelastic Response of a Bone-Implant Interface in the Distal Femur
[PhD thesis]. University of Wisconsin – Madison; 2008.
2011
Aiyangar AK.
Physical and Computational Modeling of Subsidence of Anterior Interbody Fusion Devices
[PhD thesis]. University of Wisconsin – Madison; 2011.
2011
Vivanco Morales JF.
Investigation of Fabrication and Environmental Effects on Bioceramic Bone Scaffolds
[PhD thesis]. University of Wisconsin – Madison; 2011.
2020
Shotwell CM.
A Mattress Contact Model for a Musculoskeletal Simulation of Human Rolling
[Master's thesis]. Pullman, WA: Washington State University; July 2020.