《结构与土木工程前沿（英文）》
>> 2016年
第10卷
第4期
doi:
10.1007/s11709-016-0334-1
RESEARCH ARTICLE
The convexity about ultimate bearing hypersurfaces of structures
College of Civil Engineering, Institution of Architecture Design, Xi’an University of Architecture and Technology, Xi’an 710055, China
录用日期：
2016-11-04
发布日期：
2016-11-29
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摘要
The relationship between the convexity on the ultimate bearing surface of a structure and the second-order effects of loads is discussed. All of generalized non-overload forces acted on a structure forms a convex set when ignoring the second-order effects (coupling effects between the generalized forces). It is true also when the Hessian matrix composed of the second-order partial derivatives on the hypersurface about the ultimate bearing of the structure is negative definite. The outward convexity is kept when the surface is expressed by certain dimensionless parameters. A series of properties based on the convexity are pointed out. Some applications in the analysis of bearing capacity of structures were illustrated with examples. The study shows that an evaluation about the bearing capacity state of a complex structure can be made on the basis of several points on the surface of the ultimate bearing of the structure.
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