The mechanical reliability of an electronic textile investigated using the virtual-power-based quasicontinuum method

Abstract

Please cite this article as: Beex, L.A.A., Peerlings, R.H.J., van Os, K., Geers, M.G.D., The mechanical reliability of an electronic textile investigated using the virtual-power-based quasicontinuum method, Mechanics of Materials (2014), doi: http://dx.doi.org/10. 1016/j.mechmat.2014.08.001 This is a PDF file of an unedited manuscript that has been accepted for publication. As a service to our customers we are providing this early version of the manuscript. The manuscript will undergo copyediting, typesetting, and review of the resulting proof before it is published in its final form. Please note that during the production process errors may be discovered which could affect the content, and all legal disclaimers that apply to the journal pertain.The mechanical reliability of an electronic textile investigated using the virtual-power-based quasicontinuum method AbstractThe quasicontinuum (QC) method is a multiscale method for the solution of lattice models that combines coarse-grained regions and fully resolved regions with individual lattice events. QC methodologies are mainly used to reduce the computational costs of conservative atomistic lattice computations. Recently, a virtual-power-based variant has been proposed that enables its use for non-conservative lattice computations. In this contribution the virtual-power-based QC approach is adopted in combination with a recently proposed mesostructural lattice model for electronic textile in order to investigate its mechanical behaviour. The interactions of the lattice model for electronic textile are modelled elasto-plastically and hence, regular conservative QC approaches are not adequate. This article incorporates a modification of a previously defined exact summation rule for QC methods -by sampling the lattice interactions directly instead of via the lattice nodeswhich leads to a significant reduction of the computational cost, whereas the accuracy of the summation rule remains unaffected. The presented methodology is used to efficiently investigate the failure envelope of an electronic textile -a woven fabric with embedded electronic components and conduc- tive wires -and the dependence of the failure envelope on the locations of the conductive wires and the stiffness of the weft yarns is investigated as well.

Higher‐order quasicontinuum methods for elastic and dissipative lattice models: uniaxial deformation and pure bending

“…trusses). This is a rather general lattice, as this contribution does not focus on a particular material, although a similar lattice was used in [21] to study an electronic textile. The governing equations of this lattice are recalled in this section for convenience.…”

“…Furthermore, conforming triangulations are generally used to achieve a smooth transition from fully resolved domains to coarse-grained domains (see e.g. [17,[19][20][21][22][23][24][25][26][31][32][33]). …”

“…Note that not all QC approaches are equation-free; see e.g. [19][20][21] for equation-free methods and e.g. [17,22] for non-equation-free formulations.…”

“…those for fibrous materials, often include dissipation, QC approaches can now be applied to a wide variety of lattice models. This has for instance been shown for a lattice model that includes bond failure and subsequent fibre sliding [20] and an elastoplastic lattice model for an electronic textile [21]. In light of applying QC approaches to structural lattice models, recently a QC approach was also formulated for planar beam lattices undergoing in-plane and out-of-plane deformation [28].…”

Quasicontinuum method extended to irregular lattices

“…An advantage of this approach is that discrete models can naturally capture small-scale phenomena. Therefore, a variety of sophisticated discrete material models have been developed and applied in simulations of materials such as paper [1], textile [2,3], fibrous materials [4,5,6], woven composite fabrics [7] or fiber composites [8]. Extensive effort has been invested into the formulation of a discrete model of concrete [9,10,11,12].…”