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Open AccessA micromorphic phase-field model for brittle and quasi-brittle fracture
In this manuscript, a robust and variationally consistent technique is proposed for local treatment of the phase-field fracture irreversibility. This technique involves an extension of the phase-field fracture...
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Article
Open AccessCombining spectral and POD modes to improve error estimation of numerical model reduction for porous media
Numerical model reduction (NMR) is used to solve the microscale problem that arises from computational homogenization of a model problem of porous media with displacement and pressure as unknown fields. The re...
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Efficient Two-Scale Modeling of Porous Media Using Numerical Model Reduction with Fully Computable Error Bounds
The microscale problem arizing from computational homogenization of porous media problems is solved by adopting the concept of Numerical Model Reduction. Thereby, the displacement and pore pressure are the unk...
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Open AccessA poro-viscoelastic substitute model of fine-scale poroelasticity obtained from homogenization and numerical model reduction
Numerical model reduction is exploited for computational homogenization of the model problem of a poroelastic medium under transient conditions. It is assumed that the displacement and pore pressure fields pos...
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Open AccessA multiscale model for reinforced concrete with macroscopic variation of reinforcement slip
A single-scale model for reinforced concrete, comprising the plain concrete continuum, reinforcement bars and the bond between them, is used as a basis for deriving a two-scale model. The large-scale problem, ...
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Article
Open AccessIdentification of viscoelastic properties from numerical model reduction of pressure diffusion in fluid-saturated porous rock with fractures
This paper deals with the computational homogenization and numerical model reduction of deformation driven pressure diffusion in fractured porous rock. Exposed to seismic waves, the heterogeneity of the materi...
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Open AccessOn configurational forces for gradient-enhanced inelasticity
In this paper we discuss how configurational forces can be computed in an efficient and robust manner when a constitutive continuum model of gradient-enhanced viscoplasticity is adopted, whereby a suitably tai...
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Article
Open AccessAuthor Correction: Toxic fluoride gas emissions from lithium-ion battery fires
A correction to this article has been published and is linked from the HTML and PDF versions of this paper. The error has not been fixed in the paper.
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Article
Open AccessA comparison of the primal and semi-dual variational formats of gradient-extended crystal inelasticity
In this paper we discuss issues related to the theoretical as well as the computational format of gradient-extended crystal viscoplasticity. The so-called primal format uses the displacements, the slip of each sl...
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Open AccessTwo-scale modeling of fracturing solids using a smeared macro-to-micro discontinuity transition
We consider multiscale modeling of fracturing solids undergoing strain localization, whereby Statistical Volume Elements (SVEs) are used to compute the homogenized macroscopic stresses and the eXtended Finite ...
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Article
Open AccessToxic fluoride gas emissions from lithium-ion battery fires
Lithium-ion battery fires generate intense heat and considerable amounts of gas and smoke. Although the emission of toxic gases can be a larger threat than the heat, the knowledge of such emissions is limited....
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Article
The nonconforming linear strain tetrahedron for a large deformation elasticity problem
In this paper we investigate the performance of the nonconforming linear strain tetrahedron element introduced by Hansbo (Comput Methods Appl Mech Eng 200(9–12):1311–1316, 2011; J Numer Methods Eng 91(10):1105–11...
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Tangential differential calculus and the finite element modeling of a large deformation elastic membrane problem
We develop a finite element method for a large deformation membrane elasticity problem on meshed curved surfaces using a tangential differential calculus approach that avoids the use of classical differential ...
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Open AccessErratum to: Weakly periodic boundary conditions for the homogenization of flow in porous media
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Article
A goal-oriented adaptive procedure for the quasi-continuum method with cluster approximation
We present a strategy for adaptive error control for the quasi-continuum (QC) method applied to molecular statics problems. The QC-method is introduced in two steps: Firstly, introducing QC-interpolation while...
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Open AccessOn the variationally consistent computational homogenization of elasticity in the incompressible limit
Computational homogenization is a well-established approach in material modeling with the purpose to account for strong micro-heterogeneity in an approximate fashion without excessive computational cost. Howev...
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Mesoscale modelling of crack-induced diffusivity in concrete
Cracks have large impact on the diffusivity of concrete since they provide low-resistance pathways for moisture and chloride ions to migrate through the material. In this work, crack-induced diffusivity in con...
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Article
Open AccessWeakly periodic boundary conditions for the homogenization of flow in porous media
Seepage in porous media is modeled as a Stokes flow in an open pore system contained in a rigid, impermeable and spatially periodic matrix. By homogenization, the problem is turned into a two-scale problem con...
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Article
Open AccessFinite element analysis of transient thermomechanical rolling contact using an efficient arbitrary Lagrangian–Eulerian description
A theoretical and computational framework for the analysis of thermomechanically coupled transient rolling contact, based on an arbitrary Lagrangian–Eulerian (ALE) kinematical description, is developed. A fini...
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Computational homogenization of diffusion in three-phase mesoscale concrete
A three dimensional (3D) mesoscale model of concrete is presented and employed for computational homogenization in the context of mass diffusion. The mesoscale constituents of cement paste, aggregates and inte...
