This paper presents thermal buckling analysis of rectangular functionally graded plates (FG plates) with an eccentrically located elliptic cutout. The plate governing equations derived by the first order shear deformation theory (FSDT) and finite element formulation is developed to analyze the plate behavior subjected to a uniform temperature rise across plate thickness. It is assumed that the ...

The forming limit diagram (FLD) is probably the most common representation of sheet metal formability and can be defined as the locus of the principal planar strains where failure is most likely to occur. Low carbon steel sheets have many applications in industries, especially in automotive parts, therefore it is necessary to study the formability of these steel sheets. In this paper, FLDs, wer...

We show that in a symmetric m-convex algebra without algebraic zero divisors, any self-adjoint and invertible element is either positive or negative. As a consequence we obtain that a symmetric m-convex algebra containing no algebraic zero divisors and for which every positive element has a positive square root is isomorphic to C + Rad(A).

Accurate thickness measurement of sheet-like structure such as articular cartilage in CT images is required in clinical diagnosis as well as in fundamental research. Using a conventional measurement method based on the zero-crossing edge detection (zero-crossings method), several studies have already analyzed the accuracy limitation on thickness measurement of the single sheet structure that is...

Two codes have been developed: one allows columnar polycrystal geometries generated by software such as Neper or DREAM3D to be imported into the Complete Abaqus Environment for further geometric manipulation and meshing with arbitrary element types; other code generates zero thickness, four noded interface elements at boundaries between crystals. Together these allow intergranular fracture simu...

Let us note that there exists a non empty zero structure which is non trivial. Let us observe that every zero structure which is non trivial is also non empty. Let us mention that there exists a non trivial double loop structure which is Abelian, left zeroed, right zeroed, add-associative, right complementable, unital, associative, commutative, distributive, and integral domain-like. Let R be a...

We show that in a symmetric m-convex algebra without algebraic zero divisors, any self-adjoint and invertible element is either positive or negative. As a consequence we obtain that a symmetric m-convex algebra containing no algebraic zero divisors and for which every positive element has a positive square root is isomorphic to C + Rad(A).

Let Pw and PM be the countable distributive lattices of Muchnik and Medvedev degrees of non-empty Π1 subsets of 2 , under Muchnik and Medvedev reducibility, respectively. We show that all countable distributive lattices are lattice-embeddable below any non-zero element of Pw. We show that many countable distributive lattices are lattice-embeddable below any non-zero element of PM .

In this paper, interphases in unidirectional fiber-reinforced composites under transverse loading are modeled by an advanced boundary element method based on the elasticity theory. The interphases are regarded as elastic layers between the fiber and matrix, as opposed to the spring-like models in the boundary element method literature. Both cylinder and square unit cell models of the fiber-inte...

to achieve an excellent thermal-mechanical performance of cmcs, it is necessary to analyze and design the thickness of the multi-layered interphases for an optimized trs distribution. an optimization was performed with a new version of the particle swarm optimization, the bsg-starcraft radius pso linked to a finite element software.