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Memorial Tributes Volume 24 (2022) / Chapter Skim
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ZVI HASHIN
Pages 150-155

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From page 151...
... He was one of the world's leading ­experts on micromechanics of composite materials and a pio neer in the exploration and application of materials across many fields of engineering -- from marine vehicles to space and aerospace structures like the Boeing 787 Dreamliner. His collaboration with physicist and classmate Shmuel Shtrikman on calculat­ing the tightest bounds on the elastic moduli for two-phase composites, known in the literature as the "Hashin-­ Shtrikman bounds," was hailed as one of the 100 most impor tant mechanics projects of the 20th century.
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From page 152...
... A good understanding of how each constituent responds to stress and strain loads is essential for the prediction of damage and failure modes in a composite material. Zvi Hashin was recognized for five decades as the world's preeminent authority in the micromechanics of composite materials.
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From page 153...
... These consisted of solutions for properties of com posites described as matrix containing dilute concentration of ­spherical particles, effective bulk modulus for a special geometry -- ­composite spheres assemblage -- for all volume concentrations of spherical particles, and bounds for effec tive properties based on the classical variational principles. Many workers in the field did not recognize the fact that phase volume fractions are totally insufficient information for determination of effective properties, although W.F.
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From page 154...
... In 1985 he made another significant contribution to damage mechanics when he applied variational methods to cross-ply laminates with an array of transverse cracks for estimating rigorous lower bounds of the elastic properties.5 This work was extended to orthogonally cracked cross-ply laminates in a paper 2 years later and subsequently to angle-ply laminates, as reported in a 2010 paper.6 In this paper, stiffness reduction of the laminates with intralaminar cracks in the middle layers was studied and lower bounds to stiffness coefficients were derived using the principle of minimum complementary energy. Zvi Hashin's lasting contributions to micromechanics and damage and failure in fiber-reinforced composites earned him several significant awards.
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From page 155...
... Many researchers and engineers have contributed to the field of micromechanics, but Zvi Hashin stands out for his extensive fundamental and impactful contributions. His damage and failure theories and bounds on material properties for fiber composites raised the level of scientific rigor and physical understanding in the field.
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Key Terms

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  • hashin z
  • elastic moduli
  • fiber composites
  • lower bounds

  • volume fractions
  • multiphase materials
  • failure modes
  • variational principles
  • phase geometry

  • elastic properties
  • phase volume
  • unidirectional fiber
  • bulk modulus
  • thermoelastic properties

  • preeminent authority
  • transverse cracks
  • multiphase composites
  • tative books
  • research contracts

  • nasa report
  • matrix material
  • elastic behavior
  • held research
  • effective elastic

  • books available
  • significant awards
  • estimating rigorous
  • composites raised
  • posite materials


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