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5. Compressive Behavior of Textured Nano-Laminated Mn2AlB2Across Strain Rates

Author

Zhao, X., Kota, S., Barsoum, M. W., and Lamberson, L.

Abstract

The MAB phases are a group of ternary borides with stacking transition metal boride sublattices (M-B) and Al or Zn interleaves (A). They exhibit intrinsic laminated crystal structures. Textured bulk Mn2AlB2samples were fabricated to study the compressive behavior of Mn2AlB2at quasi-static and dynamic strain rates in relation to its global orientation (b-axis). The grain orientation and its indicator were obtained using X-ray diffraction. The quasi-static compressive strengths were measured using a conventional load frame at a strain rate of 10-3s-1. Dynamic compressive strengths were obtained using a Kolsky (split-Hopkinson) bar at strain rates up to 103s-1. When loading parallel to the b-axis (‖b-axis), the quasi-static compressive strength was 1285 ± 80 MPa and was the highest value among the two strain rates and two orientations investigated. Under quasi-static conditions, the compressive strength at failure of the ‖b-axis was 12% higher than loading perpendicular to the b-axis orientation (⊥b-axis), respectively. Under the dynamic regime, the compressive strengths of both orientations were about 10% lower concerning their quasi-static values, in contrast to what has been seen in similar MAX phase (layered hexagonal metal carbides and nitrides) highly-oriented investigations. In-situ deformation imaging and post-mortem scanning electron microscopy suggest that the pre-existing microcrack distribution and a difference in the fracture mechanisms could be responsible for the lack of anisotropic solid behavior.

Published
2025
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31. A CONVEX PROGRAMMING APPROACH TO THE MULTIPLE CONSTRAINT INVENTORY PROBLEM.

Author

Lamberson, L. R.

Subjects
ECONOMIC lot size, INVENTORY control, PRODUCTION control, CONVEX functions, REAL variables, PROCESS control systems
Abstract

The calculation of economic lot sizes with more than one constraint on the system is a recognized problem in inventory control theory. This paper presents a simplex like solution procedure. The algorithm as presented can be readily adapted to other constraints which may arise in a specific application. The essential conditions for application are that the non-linear constraints and/or objective function be differentiable, convex functions. [ABSTRACT FROM AUTHOR]

Published
1968

38. OPTIMUM TIME COMPRESSION IN PROJECT SCHEDULING.

Author

TEXAS A AND M UNIV COLLEGE STATION INST OF STATISTICS, Lamberson,L. R., Hocking,R. R., TEXAS A AND M UNIV COLLEGE STATION INST OF STATISTICS, Lamberson,L. R., and Hocking,R. R.

Abstract

An algorithm based on convex programming is developed for optimum time compression in network scheduling systems. The development allows for the activity time-cost trade-off functions to be any continuous differentiable convex function. Decomposition theory is then applied to reduce the amount of computation necessary. This along with a limited number of rules to structure any incoming vector makes the algorithm amenable to time compression in large project networks. (Author), See also rept. no. THEMIS-TR-1, AD-672 362.

Published
1968

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