Anisotropic-asymmetric yield criterion and anisotropic hardening law for composite materials: Theory and formulations

Kim, Ji Hoon; Lee, Myoung‐Gyu; Chung, Kwansoo; Youn, Jae Ryoun; Kang, Tae Jin

doi:10.1007/bf02933601

Cited by 6 publications

(3 citation statements)

References 13 publications

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“…(3). First, the relationship between tensors under discussion was used in [39][40][41][42], however, without referencing sources [37,38]. Second, further development of the constitutive framework was given in [8,9,43,44] based on the additional introduction of the sixth order material tensor and the cubic joint invariant of the stress and material tensors.…”

Section: Fig 5 Stress-strain Diagram Of Cortical Bone Under Cyclic mentioning

confidence: 99%

Biomechanical analysis of tension-compression asymmetry, anisotropy and heterogeneity of bone reconstruction in response to periprosthetic fracture repair

2019

The Journal of v. N. Karazin Kharkiv National University, Series "Medicine"

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Introduction. Bone repair after periprosthetic fracture is a critical issue in orthopedics. Objectives. So there is a need for research to provide new medical solutions, especially in the context of population ageing in the Ukraine. The importance of biomechanics which is concerned with the application of principles, concepts and methods of mechanics of solid and fluid to the human body in motion and at rest is well recognized as a foundation for further experimental and theoretical research in the skeletal tissues. Materials and methods. Different aspects of biomechanics require different concepts and methods of mechanics of solid and fluid to be used. Remodeling occurs significantly throughout lifetime of bone that is why it can be regarded as a primary determinant of the mechanical properties of bone and implant. Biomechanical analysis given in this review has been concerned with understanding on how mechanical signals and molecular mechanisms affect the healing of Vancouver periprosthetic femoral fracture of B1 and C-type with the use of internal fixation through a less invasive stabilization system (LISS)-plate, which is screwed into the artificial hip joint. Results. Identification of such parameters as mechanical properties of bone, titanium alloys (hip prosthesis, coating, LISS-plate, screws) and implant/biomaterial interface with bone under mechanical and biochemical loading that are very essential for predicting arthroplasty outcomes were investigated experimentally considering elastoplastic deformation, creep, fatigue and ratcheting, as well as, damage development in materials under discussion. Among the basic deformation features were tension-compression asymmetry, anisotropy and heterogeneity of mechanical properties. We used the three-dimensional finite element model derived from the reconstruction of treatment and magnetic resonance (tomographic) images. Conclusions. As a result of this model analysis, it was found that treatment rate of periprosthetic femoral fractures after total hip arthroplasty with the use of LISS-plates and screws for internal fixation may be controlled by means of ABAQUS (or ANSYS) software package to reproduce the characteristic features of bone and implant in bone reconstruction in order to improve the fracture healing rate and shorten treatment duration Introduction. Bone repair after periprosthetic fracture is a critical issue in orthopedics. Objectives. So there is a need for research to provide new medical solutions, especially in the context of population ageing in the Ukraine. The importance of biomechanics which is concerned with the application of principles, concepts and methods of mechanics of solid and fluid to the human body in motion and at rest is well recognized as a foundation for further experimental and theoretical research in the skeletal tissues. Materials and methods. Different aspects of biomechanics require different concepts and methods of mechanics of solid and fluid to be used. Remodeling occurs significantly throughout lifetime of bone that is why it can be regarded as a primary determinant of the mechanical properties of bone and implant. Biomechanical analysis given in this review has been concerned with understanding on how mechanical signals and molecular mechanisms affect the healing of Vancouver periprosthetic femoral fracture of B1 and C-type with the use of internal fixation through a less invasive stabilization system (LISS)-plate, which is screwed into the artificial hip joint. Results. Identification of such parameters as mechanical properties of bone, titanium alloys (hip prosthesis, coating, LISS-plate, screws) and implant/biomaterial interface with bone under mechanical and biochemical loading that are very essential for predicting arthroplasty outcomes were investigated experimentally considering elastoplastic deformation, creep, fatigue and ratcheting, as well as, damage development in materials under discussion. Among the basic deformation features were tension-compression asymmetry, anisotropy and heterogeneity of mechanical properties. We used the three-dimensional finite element model derived from the reconstruction of treatment and magnetic resonance (tomographic) images. Conclusions. As a result of this model analysis, it was found that treatment rate of periprosthetic femoral fractures after total hip arthroplasty with the use of LISS-plates and screws for internal fixation may be controlled by means of ABAQUS (or ANSYS) software package to reproduce the characteristic features of bone and implant in bone reconstruction in order to improve the fracture healing rate and shorten treatment duration.

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Section: Fig 5 Stress-strain Diagram Of Cortical Bone Under Cyclic mentioning

confidence: 99%

Biomechanical analysis of tension-compression asymmetry, anisotropy and heterogeneity of bone reconstruction in response to periprosthetic fracture repair

2019

The Journal of v. N. Karazin Kharkiv National University, Series "Medicine"

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“…The recently developed constitutive law for fi bre-reinforced composites was utilised in this work. Details of the law can be found elsewhere 12 . Here, only a brief summary is given.…”

Section: Theorymentioning

confidence: 99%

“…In this work, the bi-modular and anisotropic properties of a laminated plain woven fabric composite material were experimentally measured and the data was applied in calculations. The constitutive equation considered in this paper describes elasto-plastic behaviour with both the anisotropic and asymmetric properties under the plane stress condition 12 . In the case of the anisotropy of the composites, both the initial anisotropic yielding and the anisotropic hardening were considered.…”

Section: Introductionmentioning

confidence: 99%

Elasto-Plastic Analysis of the Impact Performance of Woven Fabric Composites

Ryou

Kim

Joo

et al. 2007

Polymers and Polymer Composites

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The impact performance of laminated plain-woven fabric composites was analysed here using the elasto-plastic constitutive law, which can account for the anisotropic and asymmetric properties of fibre-reinforced plastics. The isotropic yield criterion was modified to account for the anisotropic and asymmetric initial yielding, while the kinematic hardening law with anisotropic evolution of back-stress was used for the anisotropic hardening behaviour. The impact tests were performed on laminated plain-woven composites. The simulation results for the impact tests compared well with experimental results.

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Numerical Determination and Experimental Validation of a Technological Specimen Representative of High-Pressure Hydrogen Storage Vessels

et al. 2015

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Anisotropic-asymmetric yield criterion and anisotropic hardening law for composite materials: Theory and formulations

Cited by 6 publications

References 13 publications

Biomechanical analysis of tension-compression asymmetry, anisotropy and heterogeneity of bone reconstruction in response to periprosthetic fracture repair

Biomechanical analysis of tension-compression asymmetry, anisotropy and heterogeneity of bone reconstruction in response to periprosthetic fracture repair

Elasto-Plastic Analysis of the Impact Performance of Woven Fabric Composites

Numerical Determination and Experimental Validation of a Technological Specimen Representative of High-Pressure Hydrogen Storage Vessels

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