Nearly Unbreakable

November 10, 2006

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The hierarchical structure of bone gives rise to a hierarchical deformation via a staggered load transfer mechanism at... [more]

The hierarchical structure of bone gives rise to a hierarchical deformation via a staggered load transfer mechanism at the nanoscale. The yellow cylinders denote the mineralized collagen fibrils in longitudinal section, and the red tablets denote the mineral apatite crystallites embedded within the collageneous matrix of the fibrils. The strain decreases from the tissue (left) to mineral particle level (right) in a ratio of approximately 12:5:2. [less]

The hierarchical structure of bone gives rise to a hierarchical deformation via a staggered load transfer mechanism at the nanoscale. The yellow cylinders denote the mineralized collagen fibrils in longitudinal section, and the red tablets denote the mineral apatite crystallites embedded within the collageneous matrix of the fibrils. The strain decreases from the tissue (left) to mineral particle level (right) in a ratio of approximately 12:5:2.

© Max Planck Institute of Colloids and Interfaces

© Max Planck Institute of Colloids and Interfaces

The bones in vertebrate skeletal systems need to have two main properties which at first appear to be contradictory. First, they must be rigid - a limb bone should not flop over under the weight of the bearer - and secondly, they must be tough and energy absorbing - a bone should not splinter into small fragments when dealt a blow. Usually, substances like rubber that can absorb a lot of energy by molecular conformational changes are, by the same mechanism, easy to stretch. Conversely, materials like ceramics are very rigid due to tight ionic bonds between atoms, but if the bonds break locally, runaway cracks can split the material in a brittle manner. Now in bone, half (by volume) is a stretchable fibrous protein called collagen and the other half a brittle mineral phase called apatite. By as yet incompletely understood construction strategies, such biomineralized tissues exhibit remarkably high strength and toughness necessary for their physiological functioning.

The key to understanding how this optimal construction is achieved lies in the hierarchical arrangement of organic and inorganic molecules from the nanoscale (1 level up from atomic level) up to the micron level. Using a very bright beam of photons emitted relativistically from an accelerated stream of electrons, scientists at the Max Planck Institute of Colloids and Interfaces were able to generate - in real time - diffraction image sequences of molecular and supramolecular rearrangements in bone, under applied stress. They then used these diffraction spectra as quantitative strain measures at the atomic and higher levels to build up a hierarchical picture of bone deformation.

The scientists found that the hierarchical structure of bone leads to a hierarchical deformation, as shown in Figure 1 below. Specifically, a unit of strain applied to the whole bone is absorbed by soft layers at successively lower length scales, until less than a fifth of that strain unit is actually seen by the mineral phase. Essentially, from the atomic to the micrometer level, bone consists of rigid units joined together by a soft phase, where most of the deformation occurs. These composite structures form a single rigid unit at the next level and so on, enabling the tissue to sustain large strains despite being comprised of essentially not deformable particles at the atomic level. The brittle apatite phase is thus shielded from excessive loads, and does not break.

A second unexpected finding was that the tiny mineral crystallites are nonetheless very strong, capable of carrying more than 2 - 3 times the breakage load of bulk apatite. Essentially, the small size of the particles means they cannot contain any large cracks. Since their strength is hence not "defect - limited", it can approach the values for a perfect crystal. While the existence of such a reinforcing effect is known in composite materials science, this is the first experimental evidence for this effect in biomaterials - small particles resist failure better. The natural design principles quantitatively observed here in bone - hierarchical deformation, matrix sensitivity, and nanoscale strengthening - may provide guidelines for the development of bio-inspired and new nanocomposite materials as well. Furthermore it may help bone biologists to understand how a molecular level change can cause whole bones to become more prone to fracture in diseases like osteoporosis.