John Brand Martin, South African civil engineer (Durban 20 April 1937 – Cape Town 07 October 1999)

With P. Symonds his works on mode approximation techniques are today regarded as milestones in the history of plasticity theory

Discovered simple theorems for obtaining upper bounds on the displacements in an impulsively loaded structure, and lower bounds on the duration of the response

OTHER CONTRIBUTIONS /BIBLIOGRAPHY

With S. Caddemi. Convergence of the Newton-Raphson algorithm in elastic-plastic incremental analysis. Int. J. Numer. Meth. Eng. 31: 177-91, 1991

With A. Nappi. An internal variable formulation for perfectly plastic and linear hardening relations in plasticity. Europ. J. Mechanics A 9(2):107-31, 1990

With C.T. Dittmer & T.B. Griffin. A programming approach to the numerical analysis of elastoplastic continua. Eng. Fract. Mech. 21:817-25, 1985

With L. Resende. Formulation of Drucker-Prager cap model. ASCE J. Eng. Mech. 111(7):855-81, 1985

An inverse variable approach to the formulation of finite element problems in plasticity (1981)

Plasticity: Fundamentals and General Results (1975)

Extremum principles for a class of dynamic rigid-plastic problems. Intern. J. Solids Struct. 8:185-04, 1972

The optimal design of beams and frames with compliance constraints. Intern. J. Solids Struct. 7:63-81, 1971

With L.S.S. Lee. Approximate solutions of impulsively loaded structures of a rate sensitive material. J. Appl. Math. Phys. 21:1011-32, 1970

With F.A. Leckie. Deformation bounds in bodies in a state of creep. J. Appl. Mech. 34(2), 1967

Extended displacement bound theorems for work-hardening continua subject to dynamic loading. Intern. J. Solids Struct. 2:9-26, 1966

With P.S. Symonds. Mode approximation for impulsively loaded rigid-plastic structures (1966)

Impulsive loading theorems for rigid-plastic continua. ASCE J. Eng. Mech. Div. 90:27-42, 1964

A displacement bound technique for elastic continua subject to a certain classes of dynamic loading. J. Mech. Phys. Solids 12:165-75, 1964

With L. Resende. A progressive damage continuum model for granular materials. Comp. Meth.

With M. Ortiz. Symmetry-preserving return mapping algorithms and incrementally extremal paths: an unification of concepts