Development of a constitutive hyperelastic material law for numerical simulations of adhesive steel–glass connections using structural silicone

Dias, Vincent; Odenbreit, Christoph; Hechler, Oliver; Scholzen, Frank; Zineb, Tarak Ben

doi:10.1016/j.ijadhadh.2013.09.043

Cited by 39 publications

(21 citation statements)

References 11 publications

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“…The phenomenological hyperelastic model based on strain energy density was used to characterize the deformation behavior of the Sikaflex adhesive that is incompressible and hyperelastic as discussed in Section . The strain energy density W can be written in a polynomial function of the first and second strain invariants I 1 and I 2

n_{d}^{trueprefixmax} t_{1} = \frac{{((), h_{SEI}^{trueprefixmax})}^{2}}{2 κ_{p}^{el} {(ϕ - ϕ_{normalo})}^{p}} ≅ {([], 2 κ_{p}^{el} ϕ^{p})}^{- 1} {([], \frac{f_{normald} {(1 - υ_{normals})}^{2} Γ_{normald}}{ω E_{normalS} (ϕ) {[ɛ_{s}^{normalo} + \bar{ɛ_{c}} (χ)]}^{2}})}^{2}

where C ij are the material constants. The strain invariants I 1 and I 2 can be expressed in terms of the stretch ratios λ 1 , λ 2 , and λ 3 using the following equations

I_{1} = λ_{1}^{2} + λ_{2}^{2} + λ_{3}^{2}

I_{2} = λ_{1}^{2} λ_{2}^{2} + λ_{2}^{2} λ_{3}^{2} + λ_{1}^{2} λ_{3}^{2}

…”

Section: Modified Constitutive Model For Sikaflex Adhesivesmentioning

confidence: 99%

“…Note that the third strain invariant

I_{3} = λ_{1}^{2} λ_{2}^{2} λ_{3}^{2}

= 1 is constant for incompressible adhesives; thus it is not included in the strain energy density W (Equation ) …”

Section: Modified Constitutive Model For Sikaflex Adhesivesmentioning

confidence: 99%

“…The various constitutive material models have been proposed to represent the stress–strain response of adhesives . An elastoplastic constitutive formula has been developed to simulate both the reversible elastic and irreversible inelastic deformation of a ductile polymeric adhesive in adhesively bonded aluminum components .…”

Section: Introductionmentioning

confidence: 99%

“…The physics‐based hyperelastic model using the statistic mechanics approach characterizes the deformation by assuming a structure of randomly oriented long molecular chains . The phenomenological hyperelastic material model was developed in terms of strain energy density that is a power series in the strain invariants . The strain energy density approach has been widely accepted to simulate the nonlinear deformation behavior of rubber‐like, nearly incompressible, and isotropic hyperelastic adhesive materials, such as silicone and hydrogel adhesives.…”

Section: Introductionmentioning

confidence: 99%

“…The phenomenological hyperelastic material model was developed in terms of strain energy density that is a power series in the strain invariants . The strain energy density approach has been widely accepted to simulate the nonlinear deformation behavior of rubber‐like, nearly incompressible, and isotropic hyperelastic adhesive materials, such as silicone and hydrogel adhesives. However, these models do not consider the effect of strain rates, an important characteristic in the deformation of adhesives in high speed applications.…”

Section: Introductionmentioning

confidence: 99%

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Experimental Characterization and Modified Constitutive Modeling of the Strain Rate Dependent Compressive Behavior of Adhesives

Wang

2016

Macro Materials & Eng

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Predicting the impact performance of adhesively bonded structures requires the accurate characterization and constitutive formulation of the compressive behavior of the adhesive at dynamic strain rates. In this work, the stress–strain curves of Sikaflex adhesives are measured in uniaxial compression tests at quasi‐static and dynamic strain rates. The split‐Hopkinson pressure bar technique is modified with the hollow output bar to effectively characterize the dynamic response of the adhesive. It is found that the Sikaflex adhesive is incompressible and hyperelastic; the compressive behavior is significantly influenced by the strain rate. The strain rate sensitivity is not constant but varies as a function of the strain and the strain rate. The strain rate effect on compressive behavior is quantified and incorporated into the phenomenological hyperelastic constitutive model based on strain energy density. The modified constitutive equation accurately represents the strain rate dependent compressive behavior of Sikaflex adhesives.

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n_{d}^{trueprefixmax} t_{1} = \frac{{((), h_{SEI}^{trueprefixmax})}^{2}}{2 κ_{p}^{el} {(ϕ - ϕ_{normalo})}^{p}} ≅ {([], 2 κ_{p}^{el} ϕ^{p})}^{- 1} {([], \frac{f_{normald} {(1 - υ_{normals})}^{2} Γ_{normald}}{ω E_{normalS} (ϕ) {[ɛ_{s}^{normalo} + \bar{ɛ_{c}} (χ)]}^{2}})}^{2}

where C ij are the material constants. The strain invariants I 1 and I 2 can be expressed in terms of the stretch ratios λ 1 , λ 2 , and λ 3 using the following equations

I_{1} = λ_{1}^{2} + λ_{2}^{2} + λ_{3}^{2}

I_{2} = λ_{1}^{2} λ_{2}^{2} + λ_{2}^{2} λ_{3}^{2} + λ_{1}^{2} λ_{3}^{2}

…”

Section: Modified Constitutive Model For Sikaflex Adhesivesmentioning

confidence: 99%

“…Note that the third strain invariant

I_{3} = λ_{1}^{2} λ_{2}^{2} λ_{3}^{2}

= 1 is constant for incompressible adhesives; thus it is not included in the strain energy density W (Equation ) …”

Section: Modified Constitutive Model For Sikaflex Adhesivesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Experimental Characterization and Modified Constitutive Modeling of the Strain Rate Dependent Compressive Behavior of Adhesives

Wang

2016

Macro Materials & Eng

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Hyperelasticity, dynamic mechanical property, and rheology of addition‐type silicone rubber (VPDMS cured by PMHS)

Dong

Liao

2015

J of Applied Polymer Sci

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ABSTRACT:The aerospace-level addition-type silicone rubber (ASR) was prepared by vinyl-terminated polydimethylsiloxane (VPDMS) and aerospace-level polymethylhydrosiloxane (PMHS) and its mechanical properties were investigated through the hyperelastic measurements, the dynamic mechanical tests and the rheological experiments. The hyperelastic analysis shows that the tensile strength and the break strain are separately 3.00 MPa and 281%, and the proposed model exhibits good descriptions of the uniaxial behaviors. The dynamic mechanical analysis indicates that two transition temperatures are observed for the ASR. The storage modulus, the loss modulus and the loss factor become stable when the temperature is higher than 235C. The rheological analysis presents that the storage and loss modulus appeared an obvious growth with increasing frequency at the temperature of 2120 and 2110 C. The moduli have an apparent nonlinear dependence on the strain amplitude and a nonlinear function is utilized to express that relationship. This nonlinear model shows well agreements with the experimental data. The investigations on the aerospace-level ASR in this article have some meanings for its usage in aerospace products.

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Visco‐elasto‐plastic constitutive model of adhesives under uniaxial compression in a range of strain rates

Wang

2020

J of Applied Polymer Sci

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Determining the constitutive model of adhesives enables the prediction of the mechanical response of hybrid structures in which the adhesive is used. In this study, the stress-strain behavior of a two-component structural adhesive was first measured in uniaxial compression experiments at the strain rates ranging from 0.001 to 2600 s −1 for developing a constitutive model. It was found that the compressive response, including elastic modulus, yield strength, and plastic flow stress, is substantially influenced by the strain rate. In plastic deformation, the strain rate sensitivity is not constant but varies with the rate; moreover, strain softening and hardening dominate the plastic deformation at low and high strains, respectively. A visco-elasto-plastic constitutive model was then proposed for the adhesive, integrating the strain rate sensitivity that was quantified by empirical equations. The model which was validated can reliably represent the strain rate dependent compressive behavior of the adhesive.

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Development of a constitutive hyperelastic material law for numerical simulations of adhesive steel–glass connections using structural silicone

Cited by 39 publications

References 11 publications

Experimental Characterization and Modified Constitutive Modeling of the Strain Rate Dependent Compressive Behavior of Adhesives

Experimental Characterization and Modified Constitutive Modeling of the Strain Rate Dependent Compressive Behavior of Adhesives

Hyperelasticity, dynamic mechanical property, and rheology of addition‐type silicone rubber (VPDMS cured by PMHS)

Visco‐elasto‐plastic constitutive model of adhesives under uniaxial compression in a range of strain rates

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