Energy-based non-local plasticity models for deformation patterning, localization and fracture

Lancioni, Giovanni; Yalçınkaya, Tuncay; Cocks, A.C.F.

doi:10.1098/rspa.2015.0275

Cited by 26 publications

(22 citation statements)

References 39 publications

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“…For a system characterized by these energies, the displacement and damage evolution, when certain loads are applied and increased, is determined by solving a constrained incremental minimization problem. Incremental minimization is a powerful mathematical tool to capture local minima in evolution problems, and it has been applied to problems of fracture [35], plasticity [36,37], and crystal plasticity [38,39]. Here it is solved numerically by implementing a Sequential Quadratic Programming algorithm.…”

Section: Introductionmentioning

confidence: 99%

Fabric-reinforced cementitious matrix behavior at high-temperature: Experimental and numerical results

Donnini

Basalo

Corinaldesi

et al. 2017

Composites Part B: Engineering

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The use of externally applied composite systems to upgrade, strengthen or rehabilitate masonry or concrete structures is well established. However, structural strengthening with organic type composites, such as fiber-reinforced polymer (FRP) systems, may be impractical when the element is exposed to high-temperature service conditions, due to significant degradation of the organic resin. Instead, the use of an inorganic matrix, as in the case of fabric-reinforced cementitious matrix (FRCM) composites, may overcome this problem. The purpose of this study is to evaluate the mechanical behavior under high-temperature conditions of FRCM systems. Different FRCM composites are evaluated and include carbon fabrics ranging from dry to highly-impregnated with an organic resin. The experimental spectrum is comprised of uniaxial tensile and double-shear bond tests performed under temperatures ranging from 20 to 120 °C to determine the influence of temperature over the FRCM mechanical properties. Furthermore, SEM analysis was used to study the damage processes at the fiber-matrix interface post tensile testing. Experimental results show variations in the FRCM mechanical properties if tested at high temperature conditions (caused by the deterioration of the resin coating at the interface fiber-matrix) while residual performance after exposure to elevated temperatures remains unchanged. FRCM reinforced with dry fabrics has proven not to be affected by temperatures up to 120 °C. A numerical model using a fracture variational approach, based on incremental energy minimization, was also developed to simulate the FRCM behavior in double shear tests under different temperatures exposition

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Section: Introductionmentioning

confidence: 99%

Fabric-reinforced cementitious matrix behavior at high-temperature: Experimental and numerical results

Donnini

Basalo

Corinaldesi

et al. 2017

Composites Part B: Engineering

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123

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“…In this case the evolution equations are derived from a dissipation potential. Same results could be obtained through variational formulation and incremental minimization procedure as well (see Lancioni et al 2015a).…”

Section: )mentioning

confidence: 59%

“…In addition to their success in predicting size effects, strain gradient crystal plasticity models have been improved further to simulate the intragranular microstructure evolution, intergranular grain boundary behavior, and macroscopic strain localization leading to necking in metallic materials (see, e.g., also Yalcinkaya et al , 2012Özdemir and Yalçinkaya 2014;Yalcinkaya and Lancioni 2014;Lancioni et al 2015a). A thermodynamically consistent incorporation of a proper plastic potentials results in different responses in terms of both strain distribution and the global constitutive response.…”

Section: Introductionmentioning

confidence: 99%

Strain Gradient Crystal Plasticity: Thermodynamics and Implementation

Yalçınkaya¹

2016

Handbook of Nonlocal Continuum Mechanics for Materials and Structures

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This chapter studies the thermodynamical consistency and the finite element implementation aspects of a rate-dependent nonlocal (strain gradient) crystal plasticity model, which is used to address the modeling of the size-dependent behavior of polycrystalline metallic materials. The possibilities and required updates for the simulation of dislocation microstructure evolution, grain boundary-dislocation interaction mechanisms, and localization leading to necking and fracture phenomena are shortly discussed as well. The development of the model is conducted in terms of the displacement and the plastic slip, where the coupled fields are updated incrementally through finite element method. Numerical examples illustrate the size effect predictions in polycrystalline materials through Voronoi tessellation.

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“…The free energy is assumed to depend only on the elastic strain and the dislocation density. In comparison to recent works of the authors (see, e.g., Yalcinkaya et al 2011, Yalçinkaya et al 2012, Yalçinkaya 2013, Yalcinkaya and Lancioni 2014, Lancioni et al 2015a where the framework is developed and used for modeling the inhomogeneous deformation field (microstructure) formation and evolution, the current chapter does not include the energetic hardening term in the bulk material, which could be convex or non-convex in nature. The details of such modeling approaches are discussed in one of the chapters here.…”

Section: Free Energy Imbalance: Bulk Materialsmentioning

confidence: 99%

Strain Gradient Crystal Plasticity: Intragranular Microstructure Formation

Özdemir¹,

Yalçınkaya²

2016

Handbook of Nonlocal Continuum Mechanics for Materials and Structures

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This chapter addresses the formation and evolution of inhomogeneous plastic deformation field between grains in polycrystalline metals by focusing on continuum scale modeling of dislocation-grain boundary interactions within a strain gradient crystal plasticity (SGCP) framework. Thermodynamically consistent extension of a particular strain gradient plasticity model, addressed previously (see also, e.g., Yalcinkaya et al, J Mech Phys Solids 59:1-17, 2011), is presented which incorporates the effect of grain boundaries on plastic slip evolution explicitly. Among various choices, a potential-type non-dissipative grain boundary description in terms of grain boundary Burgers tensor (see, e.g., Gurtin, J Mech Phys Solids 56:640-662, 2008) is preferred since this is the essential descriptor to capture both the misorientation and grain boundary orientation effects. A mixed finite element formulation is used to discretize the problem in which both displacements and plastic slips are considered as primary variables. For the treatment of grain boundaries within the solution algorithm, an interface element is formulated. The capabilities of the framework is demonstrated through 3D bicrystal and polycrystal examples, and potential extensions and currently pursued multi-scale modeling efforts are briefly discussed in the closure.

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Energy-based non-local plasticity models for deformation patterning, localization and fracture

Cited by 26 publications

References 39 publications

Fabric-reinforced cementitious matrix behavior at high-temperature: Experimental and numerical results

Fabric-reinforced cementitious matrix behavior at high-temperature: Experimental and numerical results

Strain Gradient Crystal Plasticity: Thermodynamics and Implementation

Strain Gradient Crystal Plasticity: Intragranular Microstructure Formation

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