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Biology meets engineering: The structural mechanics of fossil and extant shark teeth
The majority of studies on the evolution and function of feeding in sharks have focused primarily on the movement of cranial components and muscle function, with little integration of toothExpand
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Young's modulus and hardness of shark tooth biomaterials.
To date, the majority of studies on feeding mechanics in sharks have focused on the movement of cranial components and muscle function, with little attention to tooth properties or function.Expand
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Reproducing kernel element method Part II: Globally conforming Im/Cn hierarchies
In this part of the work, a minimal degrees of freedom, arbitrary smooth, globally compatible, I m =C n interpolation hierarchy is constructed in the framework of reproducing kernel element methodExpand
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Geometry representation, modification and iterative design using RKEM
We present a new method for representing smooth geometry using the reproducing kernel element method. Further, the formulation provides a simple method to modify geometry that does not requireExpand
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Reproducing kernel element method Part III: Generalized enrichment and applications
In this part of the work, a notion of generalized enrichment is proposed to construct the global partition polynomials or to enrich global partition polynomial basis with extra terms corresponding toExpand
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Reproducing kernel element method. Part IV: Globally compatible Cn (n ≥ 1) triangular hierarchy
In this part of the work, a globally compatible C n ðXÞ triangular element hierarchy is constructed in the framework of reproducing kernel element method (RKEM) for arbitrary two dimensional domains.Expand
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Meshfree simulations of thermo-mechanical ductile fracture
In this work, a meshfree method is used to simulate thermo-mechanical ductile fracture under finite deformation. A Galerkin meshfree formulation incorporating the Johnson-Cook damage model isExpand
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Meshfree Modeling in Laminated Composites
A problem of increasing importance in the aerospace industry is in detailed modeling of explicit fracture in laminated composite materials. For design applications, the simulation must be capable ofExpand
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Multi-scale Structural Mechanics for Advanced Aircraft Design
Laminated composites are playing an increasingly important role in the design of high-performance vehicles ranging from aircraft to sports cars. The benefits include high-strength, low weight andExpand
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The quasi-uniformity condition for reproducing kernel element method meshes
The reproducing kernel element method is a hybrid between finite elements and meshfree methods that provides shape functions of arbitrary order and continuity yet retains the Kronecker-δ property. ToExpand
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