BIOMECHANICS OF BONE

stress-strain curve

·      elastic portion is slightly curved

·      indicates some yielding during loading

·      cortical bone is stiffer

·      withstands more stress but

·      cortical bone can withstand less strain

·      cortical bone fractures after 2% strain

·      cancellous bone fractures after 75% strain

·      cancellous bone has large capacity for energy storage

·      bone demonstrates anisotropy

·      strongest and stiffest in directions in which loads most commonly imposed (ie longitudinally)

Loading behaviour
Tension

·      direction of failure is transverse

·      mechanism of failure is debonding at cement lines and pulling out of osteons

·      tension fractures usually occur in cancellous bone with muscle attachments

·      eg. olecranon, calcaneum

Compression

·      direction of failure is oblique

·      mechanism of failure is oblique cracking of osteons

·      most commonly seen in vertebral bodies

Shear

·      causes internal angular deformation

·      most commonly seen in cancellous bone

·      eg. tibial plateau

Bending

·      direction of failure is

·      transverse on tension side

·      oblique on compression side

·      on compression side may produce

·      buckle fracture

·      ‘butterfly fragment’

Torsion

·      bone first fails in shear

·      initial crack parallel to neutral axis

·      then fails in tension

·      propagation at diagonal to neutral axis

·      usually gives spiral fracture

Combined loading

·      most fractures due to combination of loads

·      gives variation in fracture patterns

Influence of muscle activity

·      contraction of muscles alters stress distribution

·      decreases or eliminates tensile stress by producing compressive stress

·      contraction may increase compressive stress on compression side

·      bone can withstand compression better than tension

·      muscle contraction effectively increases stress that bone can sustain

rate dependency

·      behaviour varies with rate of loading

·      when loaded quickly, bone is

·      stiffer (ie. less deformation)

·      stronger (ie. sustains higher load to failure)

·      when bone fractures, stored energy released

·      at low loading rate, energy dissipated through single crack

·      at high loading rate, greater energy leads to comminution

fatigue

·      fatigue related to load and number of repetitions

·      bone does not have asymptotic curve

·      ie. bone will fail with enough repetitions

·      fatigue also related to frequency of repetitions

·      failure occurs when remodelling outpaced by fatigue

·      failure usually occurs with continued strenuous physical activity

·      muscels fatigued

·      less able to contract and counteract stresses imposed on bone

·      less able to store energy and neutralise stresses imposed on bone

·      may lead to stress fracture

·      stress fractures on compressive side are oblique

·      stress fractures on tensile side are transverse

bone geometry

·      bones have high resistance to bending and torsion because bone tissue distributed at distance from neutral axis

Physiological changes

Age

·      with age, bone density decreases

·      partly counteracted by increasing moment of inertia

·      endosteal resorption outstrips periosteal resorption

·      cortical diameter increased

·      distance from neutral axis increased

Fracture

·      with fracture healing, resistance to bending and torsion maximised

·      external callus increases diameter of bone

·      thus increases moment of inertia

Surgical changes

·      surgical bone defects weaken bone

Stress raiser

·      defect whose length is less than diameter of bone

·      produced by screw, drill hole or window

·      stress becomes concentrated around defect

·      weakening maximal to torsion

·      initial weakening is 60%

·      disappears after 8 weeks due to remodelling

Open section defect

·      defect whose length is greater than diameter of bone

·      produced by biopsy or window

·      stress unable to be distributed around periphery

·      stress changes direction when encounters defect

·      weakening maximal to torsion

·      can be up to 90%

remodelling

·      bone can remodel to meet mechanical demands placed on it

·      summarised as Wolff’s law

·      bone laid down where needed and resorbed where not needed

Immobilisation

·      immobilisation leads to bone resorption

·      leads to decreased strength and stiffness

Implant

·      plate and screws shares load with bone

·      leads to bone resorption under plate

·      resorption causes

·      decreased bone diameter

·      osteoporosis

·      hypertrophy may occur at attachment sites

·      due to increased load at these sites