Numerical modeling of creep and creep damage in thin plates of arbitrary shape from materials with different behavior in tension and compression under plane stress conditions

Zolochevsky, Alexander; Sklepus, Sergiy; Hyde, T H; Becker, A.A.; Peravali, S.

doi:10.1002/nme.2663

Cited by 14 publications

(7 citation statements)

References 68 publications

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“…where m D is the damage increment over a time step and may be expressed in local or nonlocal form. For each material point layer, the local damage increment, loc m D , is found by integrating the damage evolution rate, m  D , over the length of the time step t  using the Runge-Kutta-Merson (RKM) method as detailed in Ling et al (2000) and Zolochevsky et al (2009). The RKM update allows higher accuracy and longer time steps than a forward Euler update.…”

Section: Local 3-d Damage Incrementmentioning

confidence: 99%

A Generalized Interpolation Material Point Method for Shallow Ice Shelves. 2: Anisotropic Nonlocal Damage Mechanics and Rift Propagation

Huth

Duddu

Smith

2021

J Adv Model Earth Syst

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Our shallow-shelf creep damage model can represent the full evolution of ice shelf fracture from crevasse initiation to tabular calving  Strongly anisotropic creep damage produces sharp, arcuate rift patterns more consistent with observations than isotropic creep damage  The zero-stress damage model poorly captures rifting, but a modified form accounts for damage evolution due to mass balance and necking

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Section: Local 3-d Damage Incrementmentioning

confidence: 99%

A Generalized Interpolation Material Point Method for Shallow Ice Shelves. 2: Anisotropic Nonlocal Damage Mechanics and Rift Propagation

Huth

Duddu

Smith

2021

J Adv Model Earth Syst

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“…Additionally, it is possible to check the assumption given by Eq. (9) in the constitutive framework under discussion comparing the experimental data of microcracking around a circular hole in a flat plate of bone under tensile loading [67] with predictions based on the theory of damage development in a thin plate of arbitrary shape [68].…”

Section: Histologicalmentioning

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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“…Depending on the type of load and creep characteris-tics, these materials exhibit different behavior under various types of deformation (tension, compression, torsion) [1]. The use of these materials in technological aspects requires the development of appropriate deformation models (defining creep equations) and the study of creep behavior of structural elements [2]. The problems of evaluating shallow shells when taking into account their creep properties represent a separate class of problems in the theory of structures.…”

Section: Introductionmentioning

confidence: 99%

Finite-difference equations of quasistatic motion of the shallow concrete shells in nonlinear setting

Duissenbekov

Tokmuratov

Zhangabay

et al. 2020

Curved and Layered Structures

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AbstractThe study solves a system of finite difference equations for flexible shallow concrete shells while taking into account the nonlinear deformations. All stiffness properties of the shell are taken as variables, i.e., stiffness surface and through-thickness stiffness. Differential equations under consideration were evaluated in the form of algebraic equations with the finite element method. For a reinforced shell, a system of 98 equations on a 8×8 grid was established, which was next solved with the approximation method from the nonlinear plasticity theory. A test case involved computing a 1×1 shallow shell taking into account the nonlinear properties of concrete. With nonlinear equations for the concrete creep taken as constitutive, equations for the quasi-static shell motion under constant load were derived. The resultant equations were written in a differential form and the problem of solving these differential equations was then reduced to the solving of the Cauchy problem. The numerical solution to this problem allows describing the stress-strain state of the shell at each point of the shell grid within a specified time interval.

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Numerical modeling of creep and creep damage in thin plates of arbitrary shape from materials with different behavior in tension and compression under plane stress conditions

Cited by 14 publications

References 68 publications

A Generalized Interpolation Material Point Method for Shallow Ice Shelves. 2: Anisotropic Nonlocal Damage Mechanics and Rift Propagation

A Generalized Interpolation Material Point Method for Shallow Ice Shelves. 2: Anisotropic Nonlocal Damage Mechanics and Rift Propagation

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

Finite-difference equations of quasistatic motion of the shallow concrete shells in nonlinear setting

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