Multi-objective convex programming problem arising in multivariate sampling

Ismail, Mohd Vaseem; Nasser, Kaynat; Ahmad, Qazi Shoeb

doi:10.4314/ijest.v2i6.63731

Cited by 2 publications

(1 citation statement)

References 18 publications

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“…The degree of damage is visibly higher for the composite materials at [1], polymer [12], zinc composite [13], steel [14], TRIP steel matrix [15]; honeycombs based on aluminium [16], stainless steel [5,17]; Wire-woven Bulk Kagome (WBK) truss structures [18] and steel tubes [19].…”

Section: Failure Characteristics In the Honeycombsmentioning

confidence: 99%

Dynamic impact response of high-density square honeycombs made of TRIP steel and TRIP matrix composite material

Ehinger

Krüger

Krause

et al. 2012

EPJ Web of Conferences

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Abstract. Two designs of square-celled metallic honeycomb structures fabricated by a modified extrusion technology based on a powder feedstock were investigated. The strength and ductility of these cellular materials are achieved by an austenitic CrNi (AISI 304) steel matrix particle reinforced by an MgO partially-stabilized zirconia building up their cell wall microstructure. Similar to the mechanical behaviour of the bulk materials, the strengthening mechanism and the martensitic phase transformations in the cell walls are affected by the deformation temperature and the nominal strain rate. The microstructure evolution during quasi-static and dynamic impact compression up to high strain rates of 10 3 1/s influences the buckling and failure behaviour of the honeycomb structures. In contrast to bending-dominated quasi-isotropic networks like open-celled metal foams, axial compressive loading to the honeycomb's channels causes membrane stretching as well as crushing of the vertical cell node elements and cell walls. The presented honeycomb materials differ geometrically in their cell wall thickness-to-cell size-ratio. Therefore, the failure behaviour is predominantly controlled by global buckling and torsional-flexural buckling, respectively, accompanied by plastic matrix flow and strengthening of the cell wall microstructure.

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Section: Failure Characteristics In the Honeycombsmentioning

confidence: 99%

Dynamic impact response of high-density square honeycombs made of TRIP steel and TRIP matrix composite material

Ehinger

Krüger

Krause

et al. 2012

EPJ Web of Conferences

View full text Add to dashboard Cite

show abstract

Optimal allocation of stratified sampling design using Gradient Projection method

et al. 2017

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This article deals with the problem of finding an optimal allocation of sample sizes in stratified sampling design to minimize the cost function. In this paper the iterative procedure of Rosen's Gradient projection method is used to solve the Non linear programming problem (NLPP), when a non integer solution is obtained after solving the NLPP then Branch and Bound method provides an integer solution.

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Multi-objective convex programming problem arising in multivariate sampling

Cited by 2 publications

References 18 publications

Dynamic impact response of high-density square honeycombs made of TRIP steel and TRIP matrix composite material

Dynamic impact response of high-density square honeycombs made of TRIP steel and TRIP matrix composite material

Optimal allocation of stratified sampling design using Gradient Projection method

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