Defect sensitivity of highly deformable polymeric materials with different intrinsic qualities at various strain rates

Highly deformable materials, such as elastomers and gels, can withstand very large deformation without failure, and this response is usually insensitive to the presence of macroscopic defects. These polymer-based materials, different from the traditional ones which are usually characterized by an enthalpic elasticity, show a mechanical response which is governed by the state of internal entropy of their molecular network. If fracture energy is large, the noticeable ability of soft materials to rearrange their network at the microscale, to display large deformation and to dissipate energy thanks to their viscoelasticity, allows the minimization of the local detrimental effect of existing flaws. In the present paper, the mechanical behavior of silicone-based edge cracked plates with different crack sizes and severity of the intrinsic flaws embedded in the material is examined by taking into account the time-dependent effects. Experimental and theoretical aspects are discussed to explain the defect tolerance of such materials. The detrimental effect of intrinsic voids is quantified, and the beneficial effect due to strain at low rates is analysed. The critical distance is related to the ultimate stretch value, the quality of the material, and the crack size.

[1]  Paul A. Janmey,et al.  Soft biological materials and their impact on cell function. , 2007, Soft matter.

[2]  C. Hui,et al.  Cavity growth from crack-like defects in soft materials , 2004 .

[3]  A. Thomas,et al.  The Development of Fracture Mechanics for Elastomers , 1994 .

[4]  D. O. Stalnaker,et al.  The Poisson Function of Finite Elasticity , 1986 .

[5]  Andrea Carpinteri,et al.  Defect tolerance at various strain rates in elastomeric materials: An experimental investigation , 2017 .

[6]  Filippo Berto,et al.  Fracture behaviour of notched round bars made of PMMA subjected to torsion at −60 °C , 2013 .

[7]  P. Janmey,et al.  Nonlinear elasticity in biological gels , 2004, Nature.

[8]  S. Kurtz,et al.  An augmented hybrid constitutive model for simulation of unloading and cyclic loading behavior of conventional and highly crosslinked UHMWPE. , 2004, Biomaterials.

[9]  K. Volokh,et al.  On Cavitation in Rubberlike Materials , 2016 .

[10]  F. Eirich Failure modes of elastomers , 1973 .

[11]  O. Yeoh Some Forms of the Strain Energy Function for Rubber , 1993 .

[12]  Chung-Yuen Hui,et al.  Finite strain analysis of crack tip fields in incompressible hyperelastic solids loaded in plane stress , 2011 .

[13]  A. Carpinteri,et al.  Defect sensitivity to failure of highly deformable polymeric materials , 2017 .

[14]  Y. P. Li,et al.  Damage evolution and energy dissipation of polymers with crazes , 1998 .

[15]  J. Rodríguez-Martínez,et al.  Spherical void expansion in rubber-like materials: The stabilizing effects of viscosity and inertia , 2017 .

[16]  Yang Wang,et al.  Tension testing of silicone rubber at high strain rates , 2016 .

[17]  Filippo Berto,et al.  Fracture behaviour of notched round bars made of PMMA subjected to torsion at room temperature , 2012 .

[18]  D. Mooney,et al.  Hydrogels for tissue engineering. , 2001, Chemical Reviews.

[19]  S. Hollister Porous scaffold design for tissue engineering , 2005, Nature materials.

[20]  W. Knauss,et al.  The Fracture Energy and Some Mechanical Properties of a Polyurethane Elastomer , 1971 .

[21]  R. Rivlin,et al.  Rupture of rubber. I. Characteristic energy for tearing , 1953 .

[22]  M. Boyce,et al.  A three-dimensional constitutive model for the large stretch behavior of rubber elastic materials , 1993 .

[23]  Zhigang Suo,et al.  Flaw sensitivity of highly stretchable materials , 2017 .

[24]  R. Ogden Large deformation isotropic elasticity – on the correlation of theory and experiment for incompressible rubberlike solids , 1972, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences.

[25]  Oliver A. Shergold,et al.  The uniaxial stress versus strain response of pig skin and silicone rubber at low and high strain rates , 2006 .

[26]  J. Bergström,et al.  Molecular chain stretch is a multiaxial failure criterion for conventional and highly crosslinked UHMWPE , 2005, Journal of orthopaedic research : official publication of the Orthopaedic Research Society.

[27]  Konstantin Y. Volokh,et al.  Cracks in rubber , 2008 .

[28]  Alan N. Gent,et al.  Fracture mechanics and cavitation in rubber-like solids , 1991 .

[29]  J. Fineberg,et al.  Failing softly: a fracture theory of highly-deformable materials. , 2015, Soft matter.

[30]  A. Thomas,et al.  The strength of highly elastic materials , 1967, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.

[31]  L. Anand,et al.  Rupture of polymers by chain scission , 2017 .

[32]  Costantino Creton,et al.  Toughening Elastomers with Sacrificial Bonds and Watching Them Break , 2014, Science.

[33]  A. Gent A New Constitutive Relation for Rubber , 1996 .

[34]  Chung-Yuen Hui,et al.  Crack tip fields in soft elastic solids subjected to large quasi-static deformation — A review , 2015 .

[35]  Y. Tomita,et al.  Computational evaluation of strain-rate-dependent deformation behavior of rubber and carbon-black-filled rubber under monotonic and cyclic straining , 2008 .

[36]  Ilpo Vattulainen,et al.  Multiscale modeling of emergent materials: biological and soft matter. , 2009, Physical chemistry chemical physics : PCCP.

[37]  Filippo Berto,et al.  Mixed-mode (I/II) failure assessment of rubber materials using the effective stretch criterion , 2017 .

[38]  L. Treloar,et al.  The elasticity and related properties of rubbers , 1973 .

[39]  F. Vernerey,et al.  Rate-dependent failure mechanism of elastomers , 2017 .

[40]  F. Baldi,et al.  A tentative application of the energy separation principle to the determination of the fracture resistance (JIc) of rubbers , 2012 .

[41]  Clive R. Siviour,et al.  High Strain-Rate Tensile Characterization of EPDM Rubber Using Non-equilibrium Loading and the Virtual Fields Method , 2016 .

[42]  S. Kurtz,et al.  Prediction of multiaxial mechanical behavior for conventional and highly crosslinked UHMWPE using a hybrid constitutive model. , 2003, Biomaterials.

[43]  Yonggang Huang,et al.  Materials and Mechanics for Stretchable Electronics , 2010, Science.

[44]  Filippo Berto,et al.  A New Criterion for Rupture Assessment of Rubber‐Like Materials under Mode‐I Crack Loading: The Effective Stretch Criterion , 2016 .

[45]  Justin A. Blaber,et al.  Ncorr: Open-Source 2D Digital Image Correlation Matlab Software , 2015, Experimental Mechanics.

[46]  C. Fond Cavitation criterion for rubber materials: A review of void‐growth models , 2001 .