Finite element analysis (FEA): Applying an engineering method to functional morphology in anthropology and human biology

A fundamental research question for morphologists is how morphological variation in the skeleton relates to function. Traditional approaches have advanced our understanding of form–function relationships considerably but have limitations. Strain gauges can only record strains on a surface, and the geometry of the structure can limit where they can be bonded. Theoretical approaches, such as geometric abstractions, work well on problems with simple geometries and material properties but biological structures typically have neither of these. Finite element analysis (FEA) is a method that overcomes these problems by reducing a complex geometry into a finite number of elements with simple geometries. In addition, FEA allows strain to be modelled across the entire surface of the structure and throughout the internal structure. With advances in the processing power of computers, FEA has become more accessible and as such is becoming an increasingly popular tool to address questions about form–function relationships in development and evolution, as well as human biology generally. This paper provides an introduction to FEA including a review of the sequence of steps needed for the generation of biologically accurate finite element models that can be used for the testing of biological and functional morphology hypotheses.

[1]  Matthew B Panzer,et al.  C4-C5 segment finite element model development, validation, and load-sharing investigation. , 2009, Journal of biomechanics.

[2]  Leo K. Cheng,et al.  Subject specific finite elasticity simulations of the pelvic floor. , 2008, Journal of biomechanics.

[3]  W C Van Buskirk,et al.  The Elastic Properties of a Human Mandible , 1987, Advances in dental research.

[4]  P. Prendergast,et al.  A dynamic pattern of mechanical stimulation promotes ossification in avian embryonic long bones. , 2008, Journal of biomechanics.

[5]  L J van Ruijven,et al.  Biomechanical effect of mineral heterogeneity in trabecular bone. , 2008, Journal of biomechanics.

[6]  Chun-Li Lin,et al.  Finite element analysis of plantar fascia under stretch-the relative contribution of windlass mechanism and Achilles tendon force. , 2008, Journal of biomechanics.

[7]  J. K. Rappel,et al.  New extensometer to measure in vivo uniaxial mechanical properties of human skin. , 2008, Journal of biomechanics.

[8]  B. Wood,et al.  Masticatory biomechanics and its relevance to early hominid phylogeny: an examination of palatal thickness using finite-element analysis. , 2007, Journal of human evolution.

[9]  F Zonneveld,et al.  Morphometry of the primate bony labyrinth: a new method based on high-resolution computed tomography. , 1995, Journal of anatomy.

[10]  D. Strait,et al.  A comparison of cortical elastic properties in the craniofacial skeletons of three primate species and its relevance to the study of human evolution. , 2006, Journal of human evolution.

[11]  Ian R. Grosse,et al.  The feeding biomechanics and dietary ecology of Australopithecus africanus , 2009, Proceedings of the National Academy of Sciences.

[12]  F. Zonneveld,et al.  Linear measurements of cortical bone and dental enamel by computed tomography: applications and problems. , 1993, American journal of physical anthropology.

[13]  R Phillips,et al.  Masticatory loading and bone adaptation in the supraorbital torus of developing macaques. , 2009, American journal of physical anthropology.

[14]  I. Jonkers,et al.  Relation between subject-specific hip joint loading, stress distribution in the proximal femur and bone mineral density changes after total hip replacement. , 2008, Journal of biomechanics.

[15]  B. Richmond Biomechanics of phalangeal curvature. , 2007, Journal of human evolution.

[16]  D. Holdsworth,et al.  The effect of the density-modulus relationship selected to apply material properties in a finite element model of long bone. , 2008, Journal of biomechanics.

[17]  Emily J Rayfield,et al.  Cranial performance in the Komodo dragon (Varanus komodoensis) as revealed by high‐resolution 3‐D finite element analysis , 2008, Journal of anatomy.

[18]  R. Crompton,et al.  Assessing mechanical function of the zygomatic region in macaques: validation and sensitivity testing of finite element models , 2007, Journal of anatomy.

[19]  J. H. Koolstra,et al.  Modeling of the effect of friction in the temporomandibular joint on displacement of its disc during prolonged clenching. , 2008, Journal of oral and maxillofacial surgery : official journal of the American Association of Oral and Maxillofacial Surgeons.

[20]  F. Spoor,et al.  Comparative review of the human bony labyrinth. , 1998, American journal of physical anthropology.

[21]  Martin Geiger,et al.  Stress distribution and displacement analysis during an intermaxillary disjunction--a three-dimensional FEM study of a human skull. , 2008, Journal of biomechanics.

[22]  W. Hylander,et al.  The relationship between masseter force and masseter electromyogram during mastication in the monkey Macaca fascicularis. , 1989, Archives of oral biology.

[23]  Ulrich Witzel,et al.  Finite-element model construction for the virtual synthesis of the skulls in vertebrates: case study of Diplodocus. , 2005, The anatomical record. Part A, Discoveries in molecular, cellular, and evolutionary biology.

[24]  Philip Clausen,et al.  High‐Resolution Three‐Dimensional Computer Simulation of Hominid Cranial Mechanics , 2007, Anatomical record.

[25]  Iain R. Spears,et al.  The mechanical significance of the occlusal geometry of great ape molars in food breakdown , 1996 .

[26]  A Shirazi-Adl,et al.  Role of cartilage collagen fibrils networks in knee joint biomechanics under compression. , 2008, Journal of biomechanics.

[27]  David S Strait,et al.  Finite element analysis in functional morphology. , 2005, The anatomical record. Part A, Discoveries in molecular, cellular, and evolutionary biology.

[28]  R. Courant Variational methods for the solution of problems of equilibrium and vibrations , 1943 .

[29]  E. Rayfield Finite Element Analysis and Understanding the Biomechanics and Evolution of Living and Fossil Organisms , 2007 .

[30]  David S Strait,et al.  Modeling elastic properties in finite-element analysis: how much precision is needed to produce an accurate model? , 2005, The anatomical record. Part A, Discoveries in molecular, cellular, and evolutionary biology.

[31]  Neil Curtis,et al.  Predicting Skull Loading: Applying Multibody Dynamics Analysis to a Macaque Skull , 2008, Anatomical record.

[32]  Emily J Rayfield,et al.  Using finite-element analysis to investigate suture morphology: a case study using large carnivorous dinosaurs. , 2005, The anatomical record. Part A, Discoveries in molecular, cellular, and evolutionary biology.

[33]  E. Rayfield,et al.  Establishing a framework for archosaur cranial mechanics , 2008, Paleobiology.

[34]  R. Cook,et al.  Concepts and Applications of Finite Element Analysis , 1974 .

[35]  D J Daegling,et al.  Experimental observation, theoretical models, and biomechanical inference in the study of mandibular form. , 2000, American journal of physical anthropology.

[36]  S. Goldstein,et al.  Variations in Three‐Dimensional Cancellous Bone Architecture of the Proximal Femur in Female Hip Fractures and in Controls , 2000, Journal of bone and mineral research : the official journal of the American Society for Bone and Mineral Research.

[37]  David V. Hutton,et al.  Fundamentals of Finite Element Analysis , 2003 .

[38]  D. Lieberman,et al.  Anterior sphenoid in modern humans , 1999, Nature.

[39]  A. A. Biewener,et al.  Biomechanics-- structures and systems : a practical approach , 1992 .

[40]  Heike Scherf,et al.  A new high-resolution computed tomography (CT) segmentation method for trabecular bone architectural analysis. , 2009, American journal of physical anthropology.

[41]  M. V. D. van der Meulen,et al.  Finite element models predict cancellous apparent modulus when tissue modulus is scaled from specimen CT-attenuation. , 2004, Journal of biomechanics.

[42]  J. Currey Role of collagen and other organics in the mechanical properties of bone , 2003, Osteoporosis International.

[43]  W. Parker THE CARNIVOROUS DINOSAURS , 2007 .

[44]  Jtm Cheung,et al.  Finite element modeling of the human foot and footwear , 2006 .

[45]  B. Richmond,et al.  Modeling masticatory muscle force in finite element analysis: sensitivity analysis using principal coordinates analysis. , 2005, The anatomical record. Part A, Discoveries in molecular, cellular, and evolutionary biology.

[46]  G. Pharr,et al.  Effects of drying on the mechanical properties of bovine femur measured by nanoindentation , 1999, Journal of materials science. Materials in medicine.

[47]  C. Hinterhofer,et al.  Finite element analysis (FEA) as a model to predict effects of farriery on the equine hoof. , 2001, Equine veterinary journal. Supplement.

[48]  P. O'higgins,et al.  Development, growth and evolution : implications for the study of the hominid skeleton , 2000 .

[49]  M. Doblaré,et al.  An accurate finite element model of the cervical spine under quasi-static loading. , 2008, Journal of biomechanics.

[50]  A. Ural Prediction of Colles' fracture load in human radius using cohesive finite element modeling. , 2009, Journal of biomechanics.

[51]  C. Ross Finite element analysis in vertebrate biomechanics. , 2005, The anatomical record. Part A, Discoveries in molecular, cellular, and evolutionary biology.

[52]  D. Griffin,et al.  Finite-Element Analysis , 1975 .

[53]  U. Witzel,et al.  Functional Structure of the Skull in Hominoidea , 2004, Folia Primatologica.

[54]  T Kundu,et al.  Measurement of material elastic constants of trabecular bone: a micromechanical analytic study using a 1 GHz acoustic microscope , 2002, Journal of orthopaedic research : official publication of the Orthopaedic Research Society.

[55]  F Zonneveld,et al.  Using diagnostic radiology in human evolutionary studies , 2000, Journal of anatomy.

[56]  Philip Clausen,et al.  The vector of jaw muscle force as determined by computer-generated three dimensional simulation: a test of Greaves' model. , 2008, Journal of biomechanics.

[57]  Fred Spoor,et al.  Imaging skeletal growth and evolution , 2000 .

[58]  R Al Nazer,et al.  Flexible multibody simulation approach in the analysis of tibial strain during walking. , 2008, Journal of biomechanics.

[59]  Ulrich Witzel,et al.  Functional shape of the skull in vertebrates: which forces determine skull morphology in lower primates and ancestral synapsids? , 2005, The anatomical record. Part A, Discoveries in molecular, cellular, and evolutionary biology.

[60]  Yen-nien Cheng,et al.  New information on the Skull of Keichousaurus hui (Reptilia: Sauropterygia) with Comments on Sauropterygian Interrelationships , 2008 .

[61]  P. O’Higgins,et al.  Combined finite element and multibody dynamics analysis of biting in a Uromastyx hardwickii lizard skull , 2008, Journal of anatomy.

[62]  D. Logan A First Course in the Finite Element Method , 2001 .

[63]  S. Antón Macaque Masseter Muscle: Internal Architecture, Fiber Length and Cross-Sectional Area , 1999, International Journal of Primatology.

[64]  S C Cowin,et al.  The bone tissue of the canine mandible is elastically isotropic. , 1985, Journal of biomechanics.

[65]  A. Gefen,et al.  Is obesity a risk factor for deep tissue injury in patients with spinal cord injury? , 2008, Journal of biomechanics.

[66]  Marco Viceconti,et al.  Subject-specific finite element models implementing a maximum principal strain criterion are able to estimate failure risk and fracture location on human femurs tested in vitro. , 2008, Journal of biomechanics.

[67]  A. Gefen,et al.  Internal mechanical conditions in the soft tissues of a residual limb of a trans-tibial amputee. , 2008, Journal of biomechanics.

[68]  G. Schwartz,et al.  Enamel thickness and the topography of the enamel-dentine junction in South African Plio-Pleistocene hominids with special reference to the Carabelli trait. , 1998, Journal of human evolution.

[69]  George Sanger,et al.  Structure and Mechanics , 1991 .