Equivalent strain at large shear deformation: Theoretical, numerical and finite element analysis

Pardis, N.; Ebrahimi, R.; Kim, Hyoung Seop

doi:10.1016/j.jart.2017.05.002

Cited by 22 publications

(13 citation statements)

References 30 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Hyperelastic constitutive models in ABAQUS have been widely used 11,35,39–41 . If only uniaxial tensile test results are provided, the Marlow hyperelastic model will be recommended, 37,39 whose strain energy function is the result of integrating the provided nominal stress–strain test data 42–44 . Therefore, this model has no explicit mathematical expression and material parameters.…”

Section: Discussionmentioning

confidence: 99%

“…Thus the true out‐plane normal stress

σ_{z}

is basically equal to

σ_{nom z}

, and the true out‐plane normal strain

ε_{z}

can be expressed as

ε_{z} goodbreak= \ln ((), 1 goodbreak+ ε_{nom z}) \approx ε_{nom z}

During out‐plane shear deformation, the true out‐plane shear stress

τ_{kz}

is just the same as

τ_{nom italickz}

since the overlapping area remains unchanged. However, different from the nominal out‐plane shear strain

γ_{nom italickz}

, the true out‐plane shear strain 37,38

γ_{kz}

γ_{kz} goodbreak= \tan^{- 1} γ_{nom italickz} goodbreak= \tan^{- 1} ((), \frac{δ}{h_{normals z}})

…”

Section: Systematical Test Procedures and Materials Parametersmentioning

confidence: 99%

See 1 more Smart Citation

Experimental study on the constitutive model of optically clear adhesive films under rapid loading

Huo

et al. 2022

J of Applied Polymer Sci

View full text Add to dashboard Cite

The mechanical properties of optically clear adhesive (OCA) films can be anisotropy and viscoelasticity, and they are distinguished from conventional linear elasticity and hyper-elasticity. These properties should be considered to analyze the interfacial stress, which plays an important role in evaluating the failure of a structure containing OCA. Based on well-designed systematical experiments in the material's principal axes, a phenomenological constitutive model of OCA has been proposed in a transversely isotropic and ratedependent form. For the application to large deformation cases, the constitutive model was developed by using true stress and true strain. Results show that the well-known assumption of volume-incompressibility is not appropriate for OCA, and Poisson's ratio can vary with the loading rate and the current strain. Considering that the mono-axial mechanical behaviors along the material's principal axes present strong non-linearity, an incremental threedimensional constitutive model has been developed for finite element method (FEM) implementation. By comparing with traditional isotropic elastic and hyperelastic models, numerical examination results show that the proposed constitutive model can give a more accurate description of experimental stress-strain curves.

show abstract

Section: Discussionmentioning

confidence: 99%

“…Thus the true out‐plane normal stress

σ_{z}

is basically equal to

σ_{nom z}

, and the true out‐plane normal strain

ε_{z}

can be expressed as

ε_{z} goodbreak= \ln ((), 1 goodbreak+ ε_{nom z}) \approx ε_{nom z}

During out‐plane shear deformation, the true out‐plane shear stress

τ_{kz}

is just the same as

τ_{nom italickz}

since the overlapping area remains unchanged. However, different from the nominal out‐plane shear strain

γ_{nom italickz}

, the true out‐plane shear strain 37,38

γ_{kz}

γ_{kz} goodbreak= \tan^{- 1} γ_{nom italickz} goodbreak= \tan^{- 1} ((), \frac{δ}{h_{normals z}})

…”

Section: Systematical Test Procedures and Materials Parametersmentioning

confidence: 99%

Experimental study on the constitutive model of optically clear adhesive films under rapid loading

Huo

et al. 2022

J of Applied Polymer Sci

View full text Add to dashboard Cite

show abstract

“…Due to this mechanism, tensile residual stress ultimately remains in the weld. The equivalent strain method based on inherent strain has been proposed to implement such a mechanism and has been used by various researchers to study welding characteristics [20,21].…”

Section: Inherent Strain Methodsmentioning

confidence: 99%

Welding Deformation Analysis, Using an Inherent Strain Method for Friction Stir Welded Electric Vehicle Aluminum Battery Housing, Considering Productivity

et al. 2019

View full text Add to dashboard Cite

With the rise of electric vehicles, the use of battery modules, which are key units that drive vehicles, is increasing. The battery housing is the final form of a battery system mounted on electric vehicles, and is generally made of aluminum alloys, located at the bottom of the vehicle. The aluminum housing has a special shape to accommodate the battery module and is produced by welding extruded panels. This study applied friction stir welding (FSW) to weld 2.5 mm thin aluminum plates in order to improve the weldability and productivity. To increase productivity, we compared the mechanical properties after performing experiments under various FSW conditions. As a result, it was possible to derive speed-enabling welding conditions that can improve productivity without decreasing tensile strength. Deformation occurred in the structure during welding, causing gaps in the structure. Since these gaps have a significant influence on the degradation of mechanical properties after welding, the welding deformation at each step of welding must be calculated and reflected in the process. This study used the inherent strain method to calculate the deformation of each step of welding to apply automatic welding, and reduced the analysis time to 1/30 compared to the thermal elasto-plastic analysis method. Finally, this study verified the validity of the analysis method by comparing the experimental results with the numerical results using the inherent strain method. validation, S.K. and K.L.; formal analysis, S.K.; investigation, S.K. and Y.J.; resources, S.K. and K.L.; data curation, S.K. and K.L.; writing-original draft preparation, S.K.; writing-reviewing and editing, Y.J. and K.L.; visualization, S.K.; supervision, K.L.; project administration, K.L.; funding acquisition, K.L.

show abstract

“…Pardis et al [46] demonstrated using simple geometric relationships that the shear strain can then be calculated as…”

Section: Finite Element Frameworkmentioning

confidence: 99%

Machine learning based multiscale calibration of mesoscopic constitutive models for composite materials: application to brain white matter

Field

Ammouche

Peña³

et al. 2021

Comput Mech

View full text Add to dashboard Cite

A modular pipeline for improving the constitutive modelling of composite materials is proposed.The method is leveraged here for the development of subject-specific spatially-varying brain white matter mechanical properties. For this application, white matter microstructural information is extracted from diffusion magnetic resonance imaging (dMRI) scans, and used to generate hundreds of representative volume elements (RVEs) with randomly distributed fibre properties. By automatically running finite element analyses on these RVEs, stress-strain curves corresponding to multiple RVE-specific loading cases are produced. A mesoscopic constitutive model homogenising the RVEs’ behaviour is then calibrated for each RVE, producing a library of calibrated parameters against each set of RVE microstructural characteristics. Finally, a machine learning layer is implemented to predict the constitutive model parameters directly from any new microstructure. The results show that the methodology can predict calibrated mesoscopic material properties with high accuracy. More generally, the overall framework allows for the efficient simulation of the spatially-varying mechanical behaviour of composite materials when experimentally measured location-specific fibre geometrical characteristics are provided.

show abstract

Equivalent strain at large shear deformation: Theoretical, numerical and finite element analysis

Cited by 22 publications

References 30 publications

Experimental study on the constitutive model of optically clear adhesive films under rapid loading

Experimental study on the constitutive model of optically clear adhesive films under rapid loading

Welding Deformation Analysis, Using an Inherent Strain Method for Friction Stir Welded Electric Vehicle Aluminum Battery Housing, Considering Productivity

Machine learning based multiscale calibration of mesoscopic constitutive models for composite materials: application to brain white matter

Contact Info

Product

Resources

About