Numerical study of tissue deformation behaviour under impact loading

References

• A. Ahmed, J.I. Siddique, and A. Mahmood, non-Newtonian flow-induced deformation from pressurized cavities in absorbing porous tissues, Comput. Methods. Biomech. Biomed. Engin. 20 (2017), pp. 1464–1473.
   PubMed Web of Science ®Google Scholar
• C.G. Armstrong, W.M. Lai, and V.C. Mow, An analysis of the unconfined compression of articular cartilage, J. Biomech. Eng. 106 (1984), pp. 165–173.
   PubMed Web of Science ®Google Scholar
• C.G. Armstrong and V.C. Mow, Variation in the intrinsic mechanical properties of human cartilage with age, degeneration and water contants, J. Bone Jt. Surg., Am. Vol. 64-A (1982), pp. 88–94.
   Web of Science ®Google Scholar
• G.A. Ateshian, W.H. Warden, J.J. Kim, R.P. Grelsamer, and V.C. Mow, Finite deformation biphasic material properties of bovine articular cartilage from confined compression experiments, J. Biomech.30 (1997), pp. 1157–1164.
   PubMed Web of Science ®Google Scholar
• M.M. Biswal, K. Swain, G.C. Dash, and K. Ojha, Study of radiative magneto-non-Newtonian fluid flow over a nonlinearly elongating sheet with Soret and Dufour effects, Numer. Heat Transf. A Appl.83 (2023), pp. 331–342.
   Web of Science ®Google Scholar
• F. Boschetti, G. Pennati, F. Gervaso, G.M. Peretti, and G. Dubini, Biomechanical properties of human articular cartilage under compressive loads, Biorheology 41 (2004), pp. 159–166.
   PubMed Web of Science ®Google Scholar
• U. Farooq and J.I. Siddique, Compressive stress relaxation behavior of articular cartilage and its effects on fluid pressure and solid displacement due to non-Newtonian flow, Comput. Methods. Biomech. Biomed. Engin. 24 (2021), pp. 161–172.
   PubMed Web of Science ®Google Scholar
• M.H. Holmen, Comparison theorems and similarity solution approximations for a nonlinear diffusion equation arising in the study of soft tissue, SIAM J. Appl. Math. 44 (1984), pp. 545–556.
   Web of Science ®Google Scholar
• M.H. Holmes, W.M. Lai, and V.C. Mow, Singular perturbation analysis of the nonlinear, flow-dependent compressive stress relaxation behavior of articular cartilage, J. Biomech. Eng. 107 (1985), pp. 206–218.
   PubMed Web of Science ®Google Scholar
• J.S. Hou, M.H. Holmes, W.M. Lai, and V.C. Mow, Boundary conditions at the cartilage-synovial fluid interface for joint lubrication and theoretical verifications, J. Biomech. Eng. 111 (1989), pp. 78–87.
   PubMed Web of Science ®Google Scholar
• J.S. Hou, V.C. Mow, W.M. Lai, and M.H. Holmes, An analysis of the squeeze-film lubrication mechanism for articular cartilage, J. Biomech. 25 (1992), pp. 247–259.
   PubMed Web of Science ®Google Scholar
• W.M. Lai and V.C. Mow, Drag-induced compression of articular cartilage during a permeation experiment, J. Biorheol. 17 (1980), pp. 111–123.
   PubMed Web of Science ®Google Scholar
• W.M. Lai, V.C. Mow, and V. Roth, Effects of nonlinear strain-dependent permeability and rate of compression on the stress behavior of articular cartilage, J. Biomech. Eng. 103 (1981), pp. 61–66.
   PubMed Web of Science ®Google Scholar
• A.F. Mak, The apparent viscoelastic behavior of articular cartilage – the contributions from the intrinsic matrix viscoelasticity and interstitial fluid flows, J. Biomech. Eng. 108 (1986), pp. 123–130.
   PubMed Web of Science ®Google Scholar
• J.M. Mansour and V.C. Mow, The permeability of articular cartilage under compressive strain and at high pressures, J. Bone Jt. Surg. 58 (1976), pp. 509–516.
   PubMed Web of Science ®Google Scholar
• B. Mohanraj, G. Duan, A. Peredo, M. Kim, F. Tu, D. Lee, G.R. Dodge, and R.L. Mauck, Mechanically activated microcapsules for “on-demand” drug delivery in dynamically loaded musculoskeletal tissues, Adv. Funct. Mater. 29 (2019), Article ID 1807909.
   PubMed Web of Science ®Google Scholar
• V.C. Mow, S.C. Kuei, W.M. Lai, and C.O. Armstrong, Biphasic creep and stress relaxation of articular cartilage, theory and experiments, ASME J. Biomech. Eng. 102 (1980), pp. 73–84.
   PubMed Web of Science ®Google Scholar
• U.A. Raja, J.I. Siddique, and A. Ahmed, Biomechanical response of soft tissues during passage of synovial fluid in compression, Int. J. Comput. Methods Eng. Sci. Mech. 24 (3) (2023), pp. 1–11.
   Web of Science ®Google Scholar
• J.I. Siddique, D.M. Anderson, and A. Bondarev, Capillary rise of liquid into deformable porous material, Phys. Fluids 21 (2009), pp. 175–196.
   Web of Science ®Google Scholar
• J.I. Siddique, U.A. Raja, and A. Ahmed, Effects of magnetic field on porosity and solid deformation for radial fluid flow through deformable porous shells, Comput. Math. Appl. 80 (2020), pp. 1104–1116.
   Web of Science ®Google Scholar
• A. Usman and J.I. Siddique, Visco-elastic behavior of articular cartilage under applied magnetic field and strain-dependent permeability, Comput. Methods. Biomech. Biomed. Engin. 23 (2020), pp. 524–535.
   PubMed Web of Science ®Google Scholar