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Author = Destrade, M.;
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Displaying Results 1  20 of 20 on page 1 of 1
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A robust anisotropic hyperelastic formulation for the modelling of soft tissue
(2018)
Nolan, D.R.; Gower, A.L.; Destrade, M.; Ogden, R.W.; McGarry, J.P.
A robust anisotropic hyperelastic formulation for the modelling of soft tissue
(2018)
Nolan, D.R.; Gower, A.L.; Destrade, M.; Ogden, R.W.; McGarry, J.P.
http://hdl.handle.net/10379/13146
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Catastrophic thinning of dielectric elastomers
(2018)
Zurlo, G.; Destrade, M.; DeTommasi, D.; Puglisi, G.
Catastrophic thinning of dielectric elastomers
(2018)
Zurlo, G.; Destrade, M.; DeTommasi, D.; Puglisi, G.
Abstract:
We provide an energetic insight into the catastrophic nature of thinning instability in soft electroactive elastomers. This phenomenon is a major obstacle to the development of giant actuators, yet it is neither completely understood nor modeled accurately. In excellent agreement with experiments, we give a simple formula to predict the critical voltages for instability patterns; we model their shape and show that reversible (elastic) equilibrium is impossible beyond their onset. Our derivation is fully analytical, does not require finite element simulations, and can be extended to include prestretch and various material models.
http://hdl.handle.net/10379/14546
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Deficiencies in numerical models of anisotropic nonlinearly elastic materials
(2018)
Ní Annaidh, A.; Destrade, M.; Gilchrist, M. D.; Murphy, J. G.
Deficiencies in numerical models of anisotropic nonlinearly elastic materials
(2018)
Ní Annaidh, A.; Destrade, M.; Gilchrist, M. D.; Murphy, J. G.
Abstract:
Incompressible nonlinearly hyperelastic materials are rarely simulated in finite element numerical experiments as being perfectly incompressible because of the numerical difficulties associated with globally satisfying this constraint. Most commercial finite element packages therefore assume that the material is slightly compressible. It is then further assumed that the corresponding strainenergy function can be decomposed additively into volumetric and deviatoric parts. We show that this decomposition is not physically realistic, especially for anisotropic materials, which are of particular interest for simulating the mechanical response of biological soft tissue. The most striking illustration of the shortcoming is that with this decomposition, an anisotropic cube under hydrostatic tension deforms into another cube instead of a hexahedron with nonparallel faces. Furthermore, commercial numerical codes require the specification of a 'compressibility parameter' (or '...
http://hdl.handle.net/10379/10257
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Extreme softness of brain matter in simple shear
(2018)
Destrade, M.; Gilchrist, M.D.; Murphy, J.G.; Rashid, B.; Saccomandi, G.
Extreme softness of brain matter in simple shear
(2018)
Destrade, M.; Gilchrist, M.D.; Murphy, J.G.; Rashid, B.; Saccomandi, G.
http://hdl.handle.net/10379/11147
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Initial stress symmetry and its applications in elasticity
(2018)
Gower, A. L.; Ciarletta, P.; Destrade, M.
Initial stress symmetry and its applications in elasticity
(2018)
Gower, A. L.; Ciarletta, P.; Destrade, M.
Abstract:
An initial stress within a solid can arise to support external loads or from processes such as thermal expansion in inert matter or growth and remodelling in living materials. For this reason, it is useful to develop a mechanical framework of initially stressed solids irrespective of how this stress formed. An ideal way to do this is to write the free energy density psi in terms of initial stress tau and the elastic deformation gradient F, so we write psi = psi(F, tau). In this paper, we present a new constitutive condition for initially stressed materials, which we call the initial stress symmetry (ISS). We focus on two consequences of this condition. First, we examine how ISS restricts the possible choices of free energy densities psi = psi (F, tau) and present two examples of psi that satisfy the ISS. Second, we show that the initial stress can be derived from the Cauchy stress and the elastic deformation gradient. To illustrate, we take an example from biomechanics and calculate...
http://hdl.handle.net/10379/11703
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Initial stresses in elastic solids: constitutive laws and acoustoelasticity
(2018)
Shams, M.; Destrade, M.; Ogden, R.W.
Initial stresses in elastic solids: constitutive laws and acoustoelasticity
(2018)
Shams, M.; Destrade, M.; Ogden, R.W.
http://hdl.handle.net/10379/13875
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Large acoustoelastic effect
(2018)
Abiza, Z.; Destrade, M.; Ogden, R.W.
Large acoustoelastic effect
(2018)
Abiza, Z.; Destrade, M.; Ogden, R.W.
http://hdl.handle.net/10379/10079
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Morphology of residually stressed tubular tissues: beyond the elastic multiplicative decomposition
(2018)
Ciarletta, P.; Destrade, M.; Gower, A.L.; Taffetani, M.
Morphology of residually stressed tubular tissues: beyond the elastic multiplicative decomposition
(2018)
Ciarletta, P.; Destrade, M.; Gower, A.L.; Taffetani, M.
http://hdl.handle.net/10379/10791
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Noninvasive evaluation of skin tension lines with elastic waves
(2018)
Deroy, C.; Destrade, M.; Mc Alinden, A.; Ní Annaidh, A.
Noninvasive evaluation of skin tension lines with elastic waves
(2018)
Deroy, C.; Destrade, M.; Mc Alinden, A.; Ní Annaidh, A.
Abstract:
Background: Since their discovery by Karl Langer in the 19th Century, Skin Tension Lines (STLs) have been used by surgeons to decide the location and orientation of an incision. Although these lines are patientspecific, most surgeons rely on generic maps to determine their orientation. Beyond the imprecise pinch test, there remains no accepted method for determining STLs in vivo. Methods: (i) The speed of an elastic motion travelling radially on the skin of canine cadavers was measured with a commercial device called the Reviscometer (R). (ii) Similar to the original experiments conducted by Karl Langer, circular excisions were made on the skin and the geometric changes to the resulting wounds and excised samples were used to determine the orientation of STLs. Results: A marked anisotropy in the speed of the elastic wave travelling radially was observed. The orientation of the fastest wave was found to correlate with the orientation of the elongated wound (P&lt;0.001, R2=7...
http://hdl.handle.net/10379/11143
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Oblique wrinkles
(2018)
Carfagna, M.; Destrade, M.; Gower, A. L.; Grillo, A.
Oblique wrinkles
(2018)
Carfagna, M.; Destrade, M.; Gower, A. L.; Grillo, A.
Abstract:
We prove theoretically that when a soft solid is subjected to an extreme deformation, wrinkles can form on its surface at an angle that is oblique to a principal direction of stretch. These oblique wrinkles occur for a strain that is smaller than the one required to obtain wrinkles normal to the direction of greatest compression. We go on to explain why they will probably never be observed in realworld experiments. This article is part of the themed issue 'Patterning through instabilities in complex media: theory and applications'.
http://hdl.handle.net/10379/10696
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On deforming a sector of a circular cylindrical tube into an intact tube: existence, uniqueness, and stability
(2018)
Destrade, M.; Murphy, J.G.; Ogden, R.W.
On deforming a sector of a circular cylindrical tube into an intact tube: existence, uniqueness, and stability
(2018)
Destrade, M.; Murphy, J.G.; Ogden, R.W.
http://hdl.handle.net/10379/11150
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On residual stresses and homeostasis: an elastic theory of functional adaptation in living matter
(2018)
Ciarletta, P.; Destrade, M.; Gower, A. L.
On residual stresses and homeostasis: an elastic theory of functional adaptation in living matter
(2018)
Ciarletta, P.; Destrade, M.; Gower, A. L.
Abstract:
Living matter can functionally adapt to external physical factors by developing internal tensions, easily revealed by cutting experiments. Nonetheless, residual stresses intrinsically have a complex spatial distribution, and destructive techniques cannot be used to identify a natural stressfree configuration. This work proposes a novel elastic theory of prestressed materials. Imposing physical compatibility and symmetry arguments, we define a new class of free energies explicitly depending on the internal stresses. This theory is finally applied to the study of arterial remodelling, proving its potential for the nondestructive determination of the residual tensions within biological materials.
http://hdl.handle.net/10379/10790
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On stressdependent elastic moduli and wave speeds
(2018)
Destrade, M.; Ogden, R. W.
On stressdependent elastic moduli and wave speeds
(2018)
Destrade, M.; Ogden, R. W.
Abstract:
On the basis of the general nonlinear theory of a hyperelastic material with initial stress, initially without consideration of the origin of the initial stress, we determine explicit expressions for the stressdependent tensor of incremental elastic moduli. In considering three special cases of initial stress within the general framework, namely hydrostatic stress, uniaxial stress and planar shear stress, we then elucidate in general form the dependence of various elastic moduli on the initial stress. In each case, the effect of initial stress on the wave speed of homogeneous plane waves is studied and it is shown how various special theories from the earlier literature fit within the general framework. We then consider the situation in which the initial stress is a prestress associated with a finite deformation and, in particular, we discuss the specialization to the secondorder theory of elasticity and highlight connections between several classical approaches to the topic, ag...
http://hdl.handle.net/10379/11153
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On the rectilinear shear of compressible and incompressible elastic slabs
(2018)
Destrade, M.; Saccomandi, G.
On the rectilinear shear of compressible and incompressible elastic slabs
(2018)
Destrade, M.; Saccomandi, G.
http://hdl.handle.net/10379/11155
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Scalar evolution equations for shear waves in incompressible solids: a simple derivation of the z, zk, kzk and kp equations
(2018)
Destrade, M.; Goriely, A.; Saccomandi, G.
Scalar evolution equations for shear waves in incompressible solids: a simple derivation of the z, zk, kzk and kp equations
(2018)
Destrade, M.; Goriely, A.; Saccomandi, G.
Abstract:
We study the propagation of twodimensional finiteamplitude shear waves in a nonlinear prestrained incompressible solid, and derive several asymptotic amplitude equations in a simple, consistent and rigorous manner. The scalar Zabolotskaya (Z) equation is shown to be the asymptotic limit of the equations of motion for all elastic generalized neoHookean solids (with strain energy depending only on the first principal invariant of CauchyGreen strain). However, we show that the Z equation cannot be a scalar equation for the propagation of twodimensional shear waves in general elastic materials (with strain energy depending on the first and second principal invariants of strain). Then, we introduce dispersive and dissipative terms to deduce the scalar KadomtsevPetviashvili (KP), ZabolotskayaKhokhlov (ZK) and KhokhlovZabolotskayaKuznetsov (KZK) equations of incompressible solid mechanics.
http://hdl.handle.net/10379/11148
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Shear instability in skin tissue
(2018)
Ciarletta, P.; Destrade, M.; Gower, A. L.
Shear instability in skin tissue
(2018)
Ciarletta, P.; Destrade, M.; Gower, A. L.
Abstract:
We propose two toymodels to describe, predict and interpret the wrinkles appearing on the surface of skin when it is sheared. With the first model, we account for the lines of greatest tension present in human skin by subjecting a layer of soft tissue to a prestretch, and for the epidermis by endowing one of the layer's faces with a surface tension. For the second model, we consider an anisotropic model for the skin, to reflect the presence of stiff collagen fibres in a softer elastic matrix. In both cases, we find an explicit bifurcation criterion, linking geometrical and material parameters to a critical shear deformation accompanied by small static wrinkles, with decaying amplitudes normal to the free surface of skin.
http://hdl.handle.net/10379/10789
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Simple shear is not so simple
(2018)
Destrade, M.; Murphy, J.G.; Saccomandi, G.
Simple shear is not so simple
(2018)
Destrade, M.; Murphy, J.G.; Saccomandi, G.
http://hdl.handle.net/10379/11151
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Slight compressibility and sensitivity to changes in poisson's ratio
(2018)
Destrade, M.; Gilchrist, M.D.; Motherway, J.; Murphy, J.G.
Slight compressibility and sensitivity to changes in poisson's ratio
(2018)
Destrade, M.; Gilchrist, M.D.; Motherway, J.; Murphy, J.G.
http://hdl.handle.net/10379/11146
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Straightening: existence, uniqueness and stability
(2018)
Destrade, M.; Ogden, R. W.; Sgura, I.; Vergori, L.
Straightening: existence, uniqueness and stability
(2018)
Destrade, M.; Ogden, R. W.; Sgura, I.; Vergori, L.
Abstract:
One of the least studied universal deformations of incompressible nonlinear elasticity, namely the straightening of a sector of a circular cylinder into a rectangular block, is revisited here and, in particular, issues of existence and stability are addressed. Particular attention is paid to the system of forces required to sustain the large static deformation, including by the application of end couples. The influence of geometric parameters and constitutive models on the appearance of wrinkles on the compressed face of the block is also studied. Different numerical methods for solving the incremental stability problem are compared and it is found that the impedance matrix method, based on the resolution of a matrix Riccati differential equation, is the more precise.
http://hdl.handle.net/10379/11154
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Torsion instability of soft solid cylinders
(2018)
Ciarletta, P.; Destrade, M.
Torsion instability of soft solid cylinders
(2018)
Ciarletta, P.; Destrade, M.
Abstract:
The application of pure torsion to a long and thin cylindrical rod is known to provoke a twisting instability, evolving from an initial kink to a knot. In the torsional parallelplate rheometry of stubby cylinders, the geometrical constraints impose zero displacement of the axis of the cylinder, preventing the occurrence of such twisting instability. Under these experimental conditions, wrinkles occur on the cylinder's surface at a given critical angle of torsion. Here we investigate this subclass of elastic instabilitywhich we call torsion instabilityof soft cylinders subject to a combined finite axial stretch and torsion, by applying the theory of incremental elastic deformation superimposed on finite strains. We formulate the incremental boundary elastic problem in the Stroh differential form, and use the surface impedance method to build a robust numerical procedure for deriving the marginal stability curves. We present the results for a MooneyRivlin material and study t...
http://hdl.handle.net/10379/10788
Displaying Results 1  20 of 20 on page 1 of 1
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