Thermoelasticity at finite strains with weak and strong discontinuities

Masud, Arif; Chen, Pinlei

doi:10.1016/j.cma.2018.12.024

Cited by 12 publications

(8 citation statements)

References 45 publications

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“…35 and 37 for the mechanical field and in Ref. 40 for the thermal field. The general structure of the terms in these formulations conforms with the Nitsche type methods.…”

Section: Vmdg-based Formulation For Interfacial Couplingmentioning

confidence: 94%

“…The unique contribution in this paper is that interface terms in the weak from have been variationally derived and therefore the resulting finite element formulation is variationally consistent. The enhanced stability of the method helps in the modeling of mathematically nonsmooth problems involving weak and strong discontinuities, 40 such as the class of problems discussed in Ref. 46.…”

Section: Vmdg-based Formulation For Interfacial Couplingmentioning

confidence: 99%

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Interfacial Fatigue and Discrete Interfacial Damage in a Finite Strain Thermomechanical Framework

Chen

Wijaya

Masud

2020

Int. J. Str. Stab. Dyn.

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We present a stabilized finite element method for thermomechanical problems in the class of materials with discrete microstructural interfaces that undergo interfacial fatigue and dominant interfacial damage. This formulation is applicable to polycrystalline solids, fibrous composites, filled elastomers, and additively manufactured layered materials. A finite strain formulation for monolithically coupled thermomechanical fields is presented where interfacial kinematic models for low-cycle fatigue and for strong interfacial discontinuities are variationally embedded at the interfaces. Formulation is written in the spatial configuration to account for large local strains and finite rotations of the interfaces. The method is implemented employing the family of low-order 3D Lagrange elements comprised of linear hexahedra and linear tetrahedra. A set of benchmark problems is presented to show the mathematical and algorithmic attributes of the method.

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“…35 and 37 for the mechanical field and in Ref. 40 for the thermal field. The general structure of the terms in these formulations conforms with the Nitsche type methods.…”

Section: Vmdg-based Formulation For Interfacial Couplingmentioning

confidence: 94%

Section: Vmdg-based Formulation For Interfacial Couplingmentioning

confidence: 99%

Interfacial Fatigue and Discrete Interfacial Damage in a Finite Strain Thermomechanical Framework

Chen

Wijaya

Masud

2020

Int. J. Str. Stab. Dyn.

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“…We adopt three assumptions to simplify Eq. (31) following the same procedure as in our earlier work (Masud and Chen, 2019;Masud et al, 2012). Interested readers can refer to (Truster and Masud, 2014) for a detailed discussion.…”

Section: Derivation Of the Fine-scale Displacement Solutionmentioning

confidence: 99%

“…The concept of VMS interface stabilization (Aduloju and Truster, 2019;Masud et al, 2012;Truster et al, 2015;Truster and Masud, 2014) is employed to obtain an explicit expression for the contact traction t cont . In our earlier work, we have demonstrated that VMS interface stabilization is effective in enforcing the continuity of the displacement at the interfaces in both the small stain (Truster and Masud, 2014) and large strain regimes (Masud and Chen, 2019;Truster et al, 2015), as well as capturing the discontinuity due to debonding or dynamic frictional sliding (Chen et al, 2018(Chen et al, , 2020Masud et al, 2012;Truster and Masud, 2016). The accurate representation of t cont plays an important role in both mechanical and thermal evolution at the interfaces.…”

Section: Derivation Of Contact Traction T Cont Via the Vms Frameworkmentioning

confidence: 99%

“…For pure mechanical problems, a variational multiscale discontinuous Galerkin (VMDG) method was employed for both small (Truster and Masud, 2014) and large deformations (Truster et al, 2015). Subsequently, for multiphysics problems, a variational multiscale coupled field (VMCF) formulation (Chen et al, 2020;Masud and Chen, 2019) was developed. In the proposed formulation, mechanical fluxes across the interfaces are derived according to the fine scales (Chen et al, 2018(Chen et al, , 2020 with no additional unknowns introduced.…”

Section: Introductionmentioning

confidence: 99%

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Variational multiscale method for fully coupled thermomechanical interface contact and debonding problems

Wan

Chen

2021

International Journal of Solids and Structures

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An elastic‐inelastic model and embedded bounce‐back control for layered printing with cementitious materials

Wijaya

Kreiger

Masud

2022

Numerical Meth Engineering

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This paper presents a finite‐deformation model for extrusion‐based layered printing with cementitious materials. The evolution of mechanical properties as the printed material cures and stiffens results in nonphysical reduction in the magnitude of elastic strains when standard constitutive models are employed. This elastic recovery of the printing induced deformation contradicts the experimentally observed behavior of the printed cementitious materials that harden at a nearly‐frozen deformed state. A thermodynamically motivated constraint on the evolution of elastic strains is imposed on the constitutive model to remedy the nonphysical bounce‐back effect. An algorithm that is based on a strain‐projection technique for the elastic part of deformation is developed that complements the inelastic response given by the Drucker–Prager model. It is then embedded in a finite strain finite element framework for the modeling and simulation of cure hardening and inelastic response of the early age cementitious materials. A ghost mesh method is proposed for continuous layer‐wise printing of the material without the need for intermittent mesh generation technique or adaptive remeshing methods. The model is validated via comparison with experimental data and representative test cases are presented that investigate the mathematical and computational attributes of the proposed model.

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Thermoelasticity at finite strains with weak and strong discontinuities

Cited by 12 publications

References 45 publications

Interfacial Fatigue and Discrete Interfacial Damage in a Finite Strain Thermomechanical Framework

Interfacial Fatigue and Discrete Interfacial Damage in a Finite Strain Thermomechanical Framework

Variational multiscale method for fully coupled thermomechanical interface contact and debonding problems

An elastic‐inelastic model and embedded bounce‐back control for layered printing with cementitious materials

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