Numerical modeling and analysis of the stress-strain state in the kinematic chain «lumbar spine – sacrum – pelvis»in view of the major ligaments of the sacroiliac joint

Volodymyr Staude, Andrey Kondratyev, Mykhaylo Karpinsky


Objective:  To  study  the  stress-strain  state  of  the  ligaments  of the  sacroiliac  joint  and  the  elements  of  the  lumbosacral  spine considering various options of the lumbar lordosis and an angle of inclination of the cranial surface of the sacrum. Methods: mathematical modeling using the finite element method. A model «lumbar spine – the sacroiliac joints – pelvis»with major ligaments (anterior sacroiliac, interosseous sacroiliac, posterior sacroiliac, sacrotuberous, sacrospinous) was built on the base of CT and MRI scans (20 and 10 patients, respectively). Results: there were revealed that anterior sacroiliac, interosseous sacroiliac, posterior sacroiliac, sacrotuberous, sacrospinous ligaments significantly restrict rotational movement in the sacroiliac joint conditions for all variants  of  inclination  angle  of  the  sacrum and reduce strain and movement of all the elements of «lumbar spine – sacrum – pelvis»due to load redistribution. In case of physiological angle of inclination of the sacrum and physiological lordosis there were found uniform tension stress distribution of stress in all ligaments. With increasing of loads tension stresses significantly increased in iliolumbar ligaments indicating their important role in the redistribution of stress under conditions of  physiological  angle  of  inclination  of  the  sacrum  and  physiological lordosis in case of growth of the vertical load. In case of the vertical position of the sacrum and smoothed lordosis for all options of loading maximum value of tension stresses were found in the cranial and caudal part of the anterior sacroiliac ligaments and iliolumbar ligaments. A similar pattern was kept in case of increasing of load. When horizontal position of sacrum and hyperlordosis maximum value of tension stresses were found in the cranial part of the ventral and dorsal sacroiliac ligaments as well as in the iliolumbar and interosseous sacroiliac ligaments.


sacroiliac joint; lumbar spine; sacrum; ligaments


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