Finite strain extension of a gradient enhanced microplane damage model for concrete at static and dynamic loading

Indriyantho, Bobby Rio; Zreid, Imadeddin; Kaliske, Michael

doi:10.1016/j.engfracmech.2019.106501

Cited by 12 publications

(11 citation statements)

References 31 publications

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“…In particular, at high confined pressure on tube-squash tests according to experiments conducted in [ 25 ], approximately 30–50% of concrete strains were exhibited at deformed shapes with no visible damage or cracks observed. This phenomenon has been supported by numerical simulations using a finite strain microplane damage model in [ 26 ], while simulation results obtained by the small strain version showed that the concrete lost almost its entire stiffness. Meanwhile, using softening microplane plasticity at finite strains proposed in [ 27 , 28 ], large plastic deformations were demonstrated for similar cases.…”

Section: Introductionmentioning

confidence: 73%

“…The present work continues to use the V-D split for extending the small strain microplane model to the finite strain regime employing the conjugate strain-stress pair, namely the Green-Lagrange strain tensor and the second Piola-Kirchhoff stress tensor, which is transformed to the Cauchy stress tensor at post-processing [ 26 , 28 ]. Both predecessor models showed that large deformations occur in concrete either at the damaged region or at the plasticity domain.…”

Section: Materials Constitutive Laws At Finite Strainsmentioning

confidence: 99%

“…Both predecessor models showed that large deformations occur in concrete either at the damaged region or at the plasticity domain. Due to these phenomena, this subsequent work will combine both damage and plasticity within the microplane approach at the finite strain framework using the proposed model in [ 26 , 28 ]. As discussed in [ 29 , 31 ], the Green-Lagrange strain tensor

is chosen to extend the small strain microplane description for concrete to the finite strain formulation computed as

with the right Cauchy-Green tensor

obtained by the deformation gradient

as follows

where

and

are the initial and spatial Cartesian coordinates, respectively.…”

Section: Materials Constitutive Laws At Finite Strainsmentioning

confidence: 99%

“…Concerning the physical meaning of strength and frictional limit within the normal and shear components, the second Piola-Kirchhoff stress tensor is allowed to be the stress measure since no large elastic strain is observed in concrete, yet the finite strain may occur at the inelastic regime. For those reasons, as discussed in [ 26 , 28 ], the approximation of the second Piola-Kirchhoff stress tensor to be equal to the co-rotated Cauchy stress tensor is considered.…”

Section: Materials Constitutive Laws At Finite Strainsmentioning

confidence: 99%

“…Another example is a compact tension test in order to observe that the proposed adaptive element erosion also works well for crack branching. The simulations with three different velocities of 0.035 m/s, 1.4 m/s, and 4,3 m/s are performed according to [ 26 ] based on experiments in [ 41 ] using

, as obtained before. Figure 6 a displays the crack paths of the compact tension specimens, while Figure 6 b depicts the removed elements corresponding to its crack paths.…”

Section: Penetration Modelmentioning

confidence: 99%

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Modelling of High Velocity Impact on Concrete Structures Using a Rate-Dependent Plastic-Damage Microplane Approach at Finite Strains

et al. 2020

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Concrete is known as a quasi-brittle material and the microplane model has been proven to be a powerful method to describe its constitutive features. For some dynamic cases, however, numerous microplane models used successfully at small strains are not sufficient to predict the nonlinear behaviour of damaged concrete due to large deformations. In this contribution at hand, a combined plasticity-damage microplane model extended to the finite strain framework is formulated and regularised using implicit gradient enhancement to achieve mesh insensitivity and to obtain more stable finite element solutions. A modified smooth three surface Drucker–Prager yield function with caps is introduced within the compression-tension split. Moreover, a viscoplastic consistency formulation is implemented to deliver rate dependency at dynamic cases. In case of penetration into concrete materials, the proposed model is equipped with an element erosion procedure to yield a better approximation of crack patterns. Numerical examples on impact cases are performed to challenge the capability of the newly proposed model to existing experimental data.

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Section: Introductionmentioning

confidence: 73%

Section: Materials Constitutive Laws At Finite Strainsmentioning

confidence: 99%

is chosen to extend the small strain microplane description for concrete to the finite strain formulation computed as

with the right Cauchy-Green tensor

obtained by the deformation gradient

as follows

where

and

are the initial and spatial Cartesian coordinates, respectively.…”

Section: Materials Constitutive Laws At Finite Strainsmentioning

confidence: 99%

Section: Materials Constitutive Laws At Finite Strainsmentioning

confidence: 99%

, as obtained before. Figure 6 a displays the crack paths of the compact tension specimens, while Figure 6 b depicts the removed elements corresponding to its crack paths.…”

Section: Penetration Modelmentioning

confidence: 99%

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