Simple shear is not so simple

Destrade, Michel; Murphy, J. G.; Saccomandi, Giuseppe

doi:10.1016/j.ijnonlinmec.2011.05.008

Cited by 88 publications

(65 citation statements)

References 21 publications

(30 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…4) [32][33][34][35]. In this case, the straight lines parallel to the X 1 -or the X 2 -axis in the undeformed state remain straight and parallel after the deformation.…”

Section: Fibre-reinforced Cell Walls Under Shear Deformationmentioning

confidence: 95%

Debonding of cellular structures with fibre-reinforced cell walls under shear deformation

2017

View full text Add to dashboard Cite

Many natural structures are cellular solids at millimetre scale and fibre-reinforced composites at micrometre scale. For these structures, mechanical properties are associated with cell strength, and phenomena such as cell separation through debonding of the middle lamella in cell walls are key in explaining some important characteristics or behaviour. To explore such phenomena, we model cellular structures with non-linear hyperelastic cell walls under large shear deformations, and incorporate cell wall material anisotropy and unilateral contact between neighbouring cells in our models. Analytically, we show that, for two cuboid walls in unilateral contact and subject to generalised shear, gaps can appear at the interface between the deforming walls. Numerically, when finite element models of periodic structures with hexagonal cells are sheared, significant cell separation is captured diagonally across the structure. Our analysis further reveals that separation is less likely between cells with high internal cell pressure (e.g. in fresh and growing fruit and vegetables) than between cells where the internal pressure is low (e.g. in cooked or ageing plants).

show abstract

“…4) [32][33][34][35]. In this case, the straight lines parallel to the X 1 -or the X 2 -axis in the undeformed state remain straight and parallel after the deformation.…”

Section: Fibre-reinforced Cell Walls Under Shear Deformationmentioning

confidence: 95%

Debonding of cellular structures with fibre-reinforced cell walls under shear deformation

2017

View full text Add to dashboard Cite

show abstract

“…This widely used definition can be denoted as an incompressible plane strain definition of the simple shear where a plane stress condition is applied, cf. Destrade et al (2012). We denote it as the version I.…”

Section: Shear Testsmentioning

confidence: 99%

Modelling the mechanical aspects of the curing process of magneto-sensitive elastomeric materials

Hossain

Saxena

Steinmann

2015

International Journal of Solids and Structures

View full text Add to dashboard Cite

a b s t r a c tIn this paper, a phenomenologically motivated magneto-mechanically coupled finite strain elastic framework for simulating the curing process of polymers in the presence of a magnetic load is proposed. This approach is in line with previous works by Hossain and co-workers on finite strain curing modelling framework for the purely mechanical polymer curing (Hossain et al., 2009b). The proposed thermodynamically consistent approach is independent of any particular free energy function that may be used for the fully-cured magneto-sensitive polymer modelling, i.e. any phenomenological or micromechanical-inspired free energy can be inserted into the main modelling framework. For the fabrication of magneto-sensitive polymers, micron-size ferromagnetic particles are mixed with the liquid matrix material in the uncured stage. The particles align in a preferred direction with the application of a magnetic field during the curing process. The polymer curing process is a complex (visco) elastic process that transforms a fluid to a solid with time. Such transformation process is modelled by an appropriate constitutive relation which takes into account the temporal evolution of the material parameters appearing in a particular energy function. For demonstration in this work, a frequently used energy function is chosen, i.e. the classical Mooney-Rivlin free energy enhanced by coupling terms. Several representative numerical examples are demonstrated that prove the capability of our approach to correctly capture common features in polymers undergoing curing processes in the presence of a magneto-mechanical coupled load.

show abstract

“…Although some literature has suggested that SS cannot be simply considered as PS combined with a rotation when large deformation is assumed ( Ref 29,30), the deformation of a particle in the billets can be expressed by the differential unity body with the deformation tensor and rotation tensor introduced by large deformation; the differential unity bodies under PS and SS deformation are isoparametric elements. Thus, this paper maintains that SS can be equivalent to PS combined with rotation.…”

Section: Geometric Equivalence Of Mcte Processmentioning

confidence: 99%

Micro-structural Evolution in Metals Subjected to Simple Shear by a Particular Severe Plastic Deformation Method

et al. 2015

J. of Materi Eng and Perform

View full text Add to dashboard Cite

Simple shear (SS) has been considered an optimal deformation method of severe plastic deformation (SPD). To achieve SS, a particular SPD method known as mutative channel torsion extrusion (MCTE) was designed based on the geometric equivalence of SS, and the cavity parameters of a die were calculated according to strain equivalence. To investigate the characteristics of micro-structural evolution subjected to MCTE, simulated and experimental investigations were conducted. The simulated results indicate that equivalent strain distribution on the cross section is relatively uniform, and the metallographic observations confirm the simulated phenomenon. Transmission electron microscopy investigations show that the process of grain refinement undergoes the formation of shear bands, dislocation cells, dislocation forests, largeangle grain boundaries, and recrystallization nuclei. Two types of mechanisms are proposed in view of the different effects of SS on grain refinement. Eventually, MCTE is ensured as an effective method for grain refinement.

show abstract

Simple shear is not so simple

Cited by 88 publications

References 21 publications

Debonding of cellular structures with fibre-reinforced cell walls under shear deformation

Debonding of cellular structures with fibre-reinforced cell walls under shear deformation

Modelling the mechanical aspects of the curing process of magneto-sensitive elastomeric materials

Micro-structural Evolution in Metals Subjected to Simple Shear by a Particular Severe Plastic Deformation Method

Contact Info

Product

Resources

About