Raymond William Ogden (born 19 September 1943) is a British applied

mathematician A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems. Mathematicians are concerned with numbers, data, quantity, mathematical structure, structure, space, Mathematica ...

. He is the George Sinclair Professor of Mathematics at the Department of Mathematics and Statistics of the

University of Glasgow The University of Glasgow (abbreviated as ''Glas.'' in Post-nominal letters, post-nominals; ) is a Public university, public research university in Glasgow, Scotland. Founded by papal bull in , it is the List of oldest universities in continuous ...

Education

Ogden earned his BA and PhD degrees from the

University of Cambridge The University of Cambridge is a Public university, public collegiate university, collegiate research university in Cambridge, England. Founded in 1209, the University of Cambridge is the List of oldest universities in continuous operation, wo ...

in 1970, under the supervision of Rodney Hill. His thesis was entitled ''On Constitutive Relations for Elastic and Plastic Materials''.

Work

Ogden's research has been focused on the

nonlinear In mathematics and science, a nonlinear system (or a non-linear system) is a system in which the change of the output is not proportional to the change of the input. Nonlinear problems are of interest to engineers, biologists, physicists, mathe ...

theory of elasticity and its applications. His theoretical contributions include the derivation of exact solutions of nonlinear

boundary value problem In the study of differential equations, a boundary-value problem is a differential equation subjected to constraints called boundary conditions. A solution to a boundary value problem is a solution to the differential equation which also satis ...

s, for both compressible and incompressible materials, and an analysis of the linear and nonlinear

stability Stability may refer to: Mathematics *Stability theory, the study of the stability of solutions to differential equations and dynamical systems ** Asymptotic stability ** Exponential stability ** Linear stability **Lyapunov stability ** Marginal s ...

of pre-stressed bodies and related studies of

elastic Elastic is a word often used to describe or identify certain types of elastomer, Elastic (notion), elastic used in garments or stretch fabric, stretchable fabrics. Elastic may also refer to: Alternative name * Rubber band, ring-shaped band of rub ...

wave propagation. In the field of applications, Ogden worked on modelling the elastic and inelastic behaviour of rubber-like solids. He has also made contributions to the

biomechanics Biomechanics is the study of the structure, function and motion of the mechanical aspects of biological systems, at any level from whole organisms to Organ (anatomy), organs, Cell (biology), cells and cell organelles, using the methods of mechani ...

of soft biological tissues, the electroelasticity and magnetoelasticity of electromechanically sensitive

elastomeric An elastomer is a polymer with viscoelasticity (i.e. both viscosity and elasticity) and with weak intermolecular forces, generally low Young's modulus (E) and high failure strain compared with other materials. The term, a portmanteau of ''elas ...

materials, and the effects on

residual stress In materials science and solid mechanics, residual stresses are stresses that remain in a solid material after the original cause of the stresses has been removed. Residual stress may be desirable or undesirable. For example, laser peening im ...

in materials that are capable of large elastic deformations. His book, ''Non-Linear Elastic Deformations'', published in 1984 and reissued in 1999, has become a standard reference in this branch of

solid mechanics Solid mechanics (also known as mechanics of solids) is the branch of continuum mechanics that studies the behavior of solid materials, especially their motion and deformation (mechanics), deformation under the action of forces, temperature chang ...

Awards and honours

Ogden was awarded the

ASME The American Society of Mechanical Engineers (ASME) is an American professional association that, in its own words, "promotes the art, science, and practice of multidisciplinary engineering and allied sciences around the globe" via "continuing edu ...

Koiter Medal in 2005 and the Prager Medal of the Society of Engineering Science in 2010. He was elected a Fellow of the Royal Society (FRS) in 2006. One or more of the preceding sentences may incorporate text from the royalsociety.org website where "all text published under the heading 'Biography' on Fellow profile pages is available under Creative Commons Attribution 4.0 International License." In 2016, the American Society of Mechanical Engineers (ASME) awarded Ogden the

Timoshenko Medal The Timoshenko Medal is an award given annually by the American Society of Mechanical Engineers (ASME) to an individual "in recognition of distinguished contributions to the field of applied mechanics." The Timoshenko Medal, widely regarded as ...

References

{{DEFAULTSORT:Ogden, Raymond William 1943 births 20th-century British mathematicians 21st-century British mathematicians Academics of the University of Glasgow Alumni of the University of Cambridge Fellows of the Royal Society Living people