Limit Analysis of Frictional Block Assemblies as a Mathematical Program With Complementarity Constraints

[1]  A. Kooharian.  Limit Analysis of Voussoir (Segmental) and Concrete Archs , 1952 .

[2]  D. C. Drucker.  COULOMB FRICTION, PLASTICITY, AND LIMIT LOADS , 1953 .

[3]  Giulio Maier,et al.  Shakedown theory in perfect elastoplasticity with associated and nonassociated flow-laws: A finite element, linear programming approach , 1969 .

[4]  G. Maier.  A matrix structural theory of piecewise linear elastoplasticity with interacting yield planes , 1970 .

[5]  R. Livesley.  Limit analysis of structures formed from rigid blocks , 1978 .

[6]  Jacques Heyman,et al.  The masonry arch , 1982 .

[7]  David Lloyd Smith,et al.  Mathematical programming methods in structural plasticity , 1990 .

[8]  Giulio Maier,et al.  A theory of no-tension discretized structural systems , 1990 .

[9]  Robert E. Bixby,et al.  Implementing the Simplex Method: The Initial Basis , 1992, INFORMS J. Comput..

[10]  Thomas E. Boothby,et al.  Stability of Masonry Piers and Arches , 1992 .

[11]  R. Livesley.  A computational model for the limit analysis of three-dimensional masonry structures , 1992 .

[12]  David A. Kendrick,et al.  GAMS : a user's guide, Release 2.25 , 1992 .

[13]  Thomas E. Boothby,et al.  A general lower and upper bound theorem of static stability , 1993 .

[14]  Clive. Melbourne,et al.  RIGID-BLOCK ANALYSIS OF MASONRY STRUCTURES , 1994 .

[15]  T. Boothby.  Stability of Masonry Piers and Arches Including Sliding , 1994 .

[16]  Arne Stolbjerg Drud,et al.  CONOPT - A Large-Scale GRG Code , 1994, INFORMS J. Comput..

[17]  C Melbourne,et al.  THE BEHAVIOUR OF MULTIRING BRICKWORK ARCH BRIDGES , 1995 .

[18]  S. Dirkse,et al.  Mcplib: a collection of nonlinear mixed complementarity problems , 1995 .

[19]  S. Dirkse,et al.  The path solver: a nommonotone stabilization scheme for mixed complementarity problems , 1995 .

[20]  Bethany L. Nicholson,et al.  Mathematical Programs with Equilibrium Constraints , 2021, Pyomo — Optimization Modeling in Python.

[21]  H. Kuk.  On equilibrium points in bimatrix games , 1996 .

[22]  Yiu-Wing Mai,et al.  Advances in Fracture Research , 1997 .

[23]  Michael C. Ferris,et al.  Nonlinear programming approach for a class of inverse problems in elastoplasticity , 1998 .

[24]  P. Trovalusci,et al.  Limit Analysis for No-Tension and Frictional Three-Dimensional Discrete Systems* , 1998 .

[25]  Michael C. Ferris,et al.  MATLAB and GAMS: Interfacing Optimization and Visualization Software , 1999 .

[26]  M. Ferris,et al.  On the solution of a minimum weight elastoplastic problem involving displacement and complementarity constraints , 1999 .

[27]  M. Ferris,et al.  Complementarity problems in GAMS and the PATH solver 1 This material is based on research supported , 2000 .