A critical review and some results of recently developed refined theories of fiber-reinforced laminated composites and sandwiches

A critical review of literature pertinent to the subject matter of this paper was carried out under the following two broad headings: free vibration and transient dynamics. Each of these groups describes the various theoretical developments in fiber reinforced laminated composite and sandwich plates...

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Published in	Composite structures Vol. 23; no. 4; pp. 293 - 312
Main Authors	Mallikarjuna, Kant, T.
Format	Journal Article
Language	English
Published	Oxford Elsevier Ltd 1993 Elsevier Science
Subjects	Dynamic response Dynamics Exact sciences and technology Fiber reinforced materials Finite element method Fundamental areas of phenomenology (including applications) Laminated composites Mathematical models Physics Plates (structural components) Sandwich structures Solid mechanics Structural and continuum mechanics Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...) Vibrations (mechanical) Transient response Stratified material Free vibration Fiber reinforced material Sandwich structure Review Composite material
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Abstract	A critical review of literature pertinent to the subject matter of this paper was carried out under the following two broad headings: free vibration and transient dynamics. Each of these groups describes the various theoretical developments in fiber reinforced laminated composite and sandwich plates. The theoretical developments are further classified according to the refinement/accuracy of the theories developed, such as the classical theory, the first-order shear deformation theory, and the three-dimensional elasticity/higher-order shear deformation theories. The present literature review is limited to linear free vibration and transient dynamic analyses, and geometric nonlinear transient response of multilayer sandwich/fiber-reinforced composite plates. A comparative study of recently developed refined theories in conjunction with the C° isoparametric finite element formulation has been made and the conclusions were drawn based on the literature review and the refined theories results. In order to compare the present results with the available results and to provide an easy means for future comparisons by other investigators, the numerical results are presented in tabular form.
AbstractList	A critical review of literature pertinent to the subject matter of this paper was carried out under the following two broad headings: free vibration and transient dynamics. Each of these groups describes the various theoretical developments in fiber reinforced laminated composite and sandwich plates. The theoretical developments are further classified according to the refinement/accuracy of the theories developed, such as the classical theory, the first-order shear deformation theory, and the three-dimensional elasticity/higher-order shear deformation theories. The present literature review is limited to linear free vibration and transient dynamic analyses, and geometric nonlinear transient response of multilayer sandwich/fiber-reinforced composite plates. A comparative study of recently developed refined theories in conjunction with the C° isoparametric finite element formulation has been made and the conclusions were drawn based on the literature review and the refined theories results. In order to compare the present results with the available results and to provide an easy means for future comparisons by other investigators, the numerical results are presented in tabular form. A critical review of literature pertinent to the subject matter of this paper was carried out under the following two broad headings: free vibration and transient dynamics. Each of these groups describes the various theoretical developments in fiber reinforced laminated composite and sandwich plates. The theoretical developments are further classified according to the refinement/accuracy of the theories developed, such as the classical theory, the first-order shear deformation theory, and the three-dimensional elasticity/higher-order shear deformation theories. The present literature review is limited to linear free vibration and transient dynamic analyses, and geometric nonlinear transient response of multilayer sandwich/fiber-reinforced composite plates. A comparative study of recently developed refined theories in conjunction with the C degree isoparametric finite element formulation has been made and the conclusions were drawn based on the literature review and the refined theories results. In order to compare the present results with the available results and to provide an easy means for future comparisons by other investigators, the numerical results are presented in tabular form. A critical review of literature pertinent to the subject matter of this paper was carried out under the following two broad headings: free vibration and transient dynamics. Each of these groups describes the various theoretical developments in fiber reinforced laminated composite and sandwich plates. The theoretical developments are further classified according to the refinement /accuracy of the theories developed, such as the classical theory, the first-order shear deformation theory, and the three-dimensional elasticity/higher-order shear deformation theories. The present literature review is limited to linear free vibration and transient dynamic analyses, and geometric nonlinear transient response of multilayer sandwich/fiber-reinforced composite plates. A comparative study of recently developed refined theories in conjunction with the C(0) isoparametric finite element formulation has been made, and the conclusions were drawn based on the literature review and the refined theories results. In order to compare the present results with the available results and to provide an easy means for future comparisons by other investigators, the numerical results are presented in tabular form. (Author (revised))
Author	Mallikarjuna Kant, T.
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26 Holmes, Just (BIB44) 1983 Hinton, Owen, Shantaram (BIB110) April 1975 Reissner, Stavsky (BIB45) 1961; 28 Rock, Hinton (BIB73) 1976; 6 Shantaram, Owen, Zienkiewicz (BIB111) 1976; 4 Dong, Lopez (BIB52) 1985; 21 Bert, Bert (BIB30) 1976; 8 Yu (BIB10) 1960; 27 Bert, Francis (BIB29) 1974; 12 Chen, Sun (BIB131) 1985; 21 Mallikarjuna, Kant (BIB134) 1991; 57 Yu (BIB9) 1959; 26 Kant, Owen, Zienkiewicz (BIB86) 1982; 15 Leech (BIB106) 1965; 3 Chow (BIB117) 1971; 5 Sun, Whitney (BIB64) 1973; 11 Reddy (BIB130) 1983; 21 Reismann, Lee (BIB103) 1969; 4 Mindlin (BIB1) 1951; 18 Yang, Norris, Stavsky (BIB57) 1966; 2 Lee, Chang (BIB21) 1979; 9 Bert (BIB31) 1979; 11 Whitney (BIB62) 1973; 40 Srinivas, Joga Rao, Rao (BIB75) 1970; 12 Pandya, Kant (BIB89) 1988; 66 Yu (BIB124) 1960; 27 Fortier, Rossettos (BIB65) 1973; 40 Reissner (BIB8) 1950; 17 Kant, Mallikarjuna (BIB132) 1989; 6 Moon (BIB116) 1973; 40 Ahmed (BIB17) 1971; 18 Murthy (BIB84) 1985 Ng, Lam (BIB22) 1985; 99 Ashton, Whitney (BIB40) 1970; Vol. IV Szilard (BIB26) 1974 Von Karman (BIB127) 1907–1914; 350 Mallikarjuna (10.1016/0263-8223(93)90230-N_BIB138) 1990 Mallikarjuna (10.1016/0263-8223(93)90230-N_BIB139) 1992; 42 Whitney (10.1016/0263-8223(93)90230-N_BIB122) 1977; 61 Lee (10.1016/0263-8223(93)90230-N_BIB21) 1979; 9 Pandya (10.1016/0263-8223(93)90230-N_BIB89) 1988; 66 Yu (10.1016/0263-8223(93)90230-N_BIB11) 1960; 27 Chu (10.1016/0263-8223(93)90230-N_BIB14) 1962; 34 Reismann (10.1016/0263-8223(93)90230-N_BIB104) 1968; 35 Chan (10.1016/0263-8223(93)90230-N_BIB19) 1972; 14 Vinson (10.1016/0263-8223(93)90230-N_BIB61) 1975 Moon (10.1016/0263-8223(93)90230-N_BIB115) 1972; 6 Habip (10.1016/0263-8223(93)90230-N_BIB5) 1965; 7 Christensen (10.1016/0263-8223(93)90230-N_BIB42) 1980 Sun (10.1016/0263-8223(93)90230-N_BIB121) 1975; 13 Hinton (10.1016/0263-8223(93)90230-N_BIB72) 1976; 4 Reddy (10.1016/0263-8223(93)90230-N_BIB130) 1983; 21 Chen (10.1016/0263-8223(93)90230-N_BIB131) 1985; 21 Iyengar (10.1016/0263-8223(93)90230-N_BIB53) 1986; 104 Wang (10.1016/0263-8223(93)90230-N_BIB118) 1972; 10 Reismann (10.1016/0263-8223(93)90230-N_BIB103) 1969; 4 Whitney (10.1016/0263-8223(93)90230-N_BIB91) 1973; 30 Reissner (10.1016/0263-8223(93)90230-N_BIB8) 1950; 17 Lekhnitskii (10.1016/0263-8223(93)90230-N_BIB37) 1968 Kant (10.1016/0263-8223(93)90230-N_BIB142) 1991; 26 Tsui (10.1016/0263-8223(93)90230-N_BIB107) 1971; 9 Reissner (10.1016/0263-8223(93)90230-N_BIB56) 1945; 12 Agarwal (10.1016/0263-8223(93)90230-N_BIB43) 1980 Jones (10.1016/0263-8223(93)90230-N_BIB41) 1975 Yu (10.1016/0263-8223(93)90230-N_BIB124) 1960; 27 Ahmed (10.1016/0263-8223(93)90230-N_BIB18) 1971; 18 Raville (10.1016/0263-8223(93)90230-N_BIB24) 1967; 7 Whitney (10.1016/0263-8223(93)90230-N_BIB62) 1973; 40 Reissner (10.1016/0263-8223(93)90230-N_BIB78) 1975; 11 Dong (10.1016/0263-8223(93)90230-N_BIB46) 1962; 29 Mindlin (10.1016/0263-8223(93)90230-N_BIB92) 1959; 26 Holmes (10.1016/0263-8223(93)90230-N_BIB44) 1983 Reddy (10.1016/0263-8223(93)90230-N_BIB94) 1985; 98 Craig (10.1016/0263-8223(93)90230-N_BIB69) 1986; 22 Allen (10.1016/0263-8223(93)90230-N_BIB3) 1969 Reissner (10.1016/0263-8223(93)90230-N_BIB45) 1961; 28 Dong (10.1016/0263-8223(93)90230-N_BIB63) 1972; 39 Kant (10.1016/0263-8223(93)90230-N_BIB90) 1988; 9 Mindlin (10.1016/0263-8223(93)90230-N_BIB123) 1950; 17 Bert (10.1016/0263-8223(93)90230-N_BIB31) 1979; 11 Ashton (10.1016/0263-8223(93)90230-N_BIB40) 1970; Vol. IV Habip (10.1016/0263-8223(93)90230-N_BIB4) 1965; 18 Reddy (10.1016/0263-8223(93)90230-N_BIB74) 1979; 4 Chen (10.1016/0263-8223(93)90230-N_BIB71) 1987; 25 Calcote (10.1016/0263-8223(93)90230-N_BIB39) 1969 Rock (10.1016/0263-8223(93)90230-N_BIB73) 1976; 6 Ng (10.1016/0263-8223(93)90230-N_BIB22) 1985; 99 Bert (10.1016/0263-8223(93)90230-N_BIB30_1) 1976; 8 Mallikarjuna (10.1016/0263-8223(93)90230-N_BIB140) 1992; 35 Laura (10.1016/0263-8223(93)90230-N_BIB51) 1981; 14 Pandya (10.1016/0263-8223(93)90230-N_BIB88) 1988; 28 Bhimaraddi (10.1016/0263-8223(93)90230-N_BIB93) 1984; 51 Mallikarjuna (10.1016/0263-8223(93)90230-N_BIB143) 1992; 12 Yu (10.1016/0263-8223(93)90230-N_BIB13) 1962; 34 Levinson (10.1016/0263-8223(93)90230-N_BIB81) 1980; 7 Medwadowski (10.1016/0263-8223(93)90230-N_BIB128) 1958; 25 Mindlin (10.1016/0263-8223(93)90230-N_BIB1) 1951; 18 Owen (10.1016/0263-8223(93)90230-N_BIB96) 1987; 26 Sun (10.1016/0263-8223(93)90230-N_BIB119) 1973; 7 Craig (10.1016/0263-8223(93)90230-N_BIB70) 1987; 27 Yu (10.1016/0263-8223(93)90230-N_BIB10) 1960; 27 Kant (10.1016/0263-8223(93)90230-N_BIB137) 1989 Yu (10.1016/0263-8223(93)90230-N_BIB9) 1959; 26 Pagano (10.1016/0263-8223(93)90230-N_BIB15) 1970; 4 Mallikarjuna (10.1016/0263-8223(93)90230-N_BIB135) 1990; 17 Mallikarjuna (10.1016/0263-8223(93)90230-N_BIB133) 1989; 6 Khatua (10.1016/0263-8223(93)90230-N_BIB20) 1973; 6 Reissner (10.1016/0263-8223(93)90230-N_BIB6) 1947; 5 Dong (10.1016/0263-8223(93)90230-N_BIB52) 1985; 21 Kant (10.1016/0263-8223(93)90230-N_BIB85) 1982; 31 Yang (10.1016/0263-8223(93)90230-N_BIB57) 1966; 2 Plantema (10.1016/0263-8223(93)90230-N_BIB2) 1966 Chow (10.1016/0263-8223(93)90230-N_BIB117) 1971; 5 Fortier (10.1016/0263-8223(93)90230-N_BIB65) 1973; 40 Reddy (10.1016/0263-8223(93)90230-N_BIB125) 1982; 49 Sun (10.1016/0263-8223(93)90230-N_BIB64) 1973; 11 Mallikarjuna (10.1016/0263-8223(93)90230-N_BIB141) 1988; 126 Reddy (10.1016/0263-8223(93)90230-N_BIB126) 1983; 19 Whitney (10.1016/0263-8223(93)90230-N_BIB58) 1969; 3 Timoshenko (10.1016/0263-8223(93)90230-N_BIB28) 1937 Ashton (10.1016/0263-8223(93)90230-N_BIB38) 1969 Rock (10.1016/0263-8223(93)90230-N_BIB108) 1974; 3 Sinha (10.1016/0263-8223(93)90230-N_BIB66) 1975; 26 Lo (10.1016/0263-8223(93)90230-N_BIB80) 1977; 44 Mallikarjuna (10.1016/0263-8223(93)90230-N_BIB134) 1991; 57 Kant (10.1016/0263-8223(93)90230-N_BIB132) 1989; 6 Murthy (10.1016/0263-8223(93)90230-N_BIB84) 1985 Von Karman (10.1016/0263-8223(93)90230-N_BIB127) 1907; 350 Timoshenko (10.1016/0263-8223(93)90230-N_BIB25) 1959 Sayir (10.1016/0263-8223(93)90230-N_BIB23) 1986; 37 Sun (10.1016/0263-8223(93)90230-N_BIB98) 1987; 119 Szilard (10.1016/0263-8223(93)90230-N_BIB26) 1974 Pica (10.1016/0263-8223(93)90230-N_BIB112) 1980; 15 Whitney (10.1016/0263-8223(93)90230-N_BIB48) 1971; 38 Kant (10.1016/0263-8223(93)90230-N_BIB102) 1989; 134 Bert (10.1016/0263-8223(93)90230-N_BIB32) 1982; 14 Monforton (10.1016/0263-8223(93)90230-N_BIB16) 1968 Bert (10.1016/0263-8223(93)90230-N_BIB33) 1984; 2 Hinton (10.1016/0263-8223(93)90230-N_BIB67) 1976; 4 Lo (10.1016/0263-8223(93)90230-N_BIB79) 1979; 44 Yu (10.1016/0263-8223(93)90230-N_BIB12) 1962; 29 Owen (10.1016/0263-8223(93)90230-N_BIB97) 1987; 26 Whitney (10.1016/0263-8223(93)90230-N_BIB59) 1970; 37 Noor (10.1016/0263-8223(93)90230-N_BIB77) 1973; 11 Srinivas (10.1016/0263-8223(93)90230-N_BIB75) 1970; 12 Gorman (10.1016/0263-8223(93)90230-N_BIB27) 1930 Sun (10.1016/0263-8223(93)90230-N_BIB120) 1974; 55 Reissner (10.1016/0263-8223(93)90230-N_BIB7) 1948; 15 Lekhnitskii (10.1016/0263-8223(93)90230-N_BIB36) 1963 Pica (10.1016/0263-8223(93)90230-N_BIB113) 1981; 17 Stavsky (10.1016/0263-8223(93)90230-N_BIB47) 1961; 87 Shantaram (10.1016/0263-8223(93)90230-N_BIB111) 1976; 4 Laura (10.1016/0263-8223(93)90230-N_BIB50) 1980; 4 Hinton (10.1016/0263-8223(93)90230-N_BIB109) 1976; 46 Mallikarjuna (10.1016/0263-8223(93)90230-N_BIB99) 1988 Ambartsumyan (10.1016/0263-8223(93)90230-N_BIB60) 1970 Bert (10.1016/0263-8223(93)90230-N_BIB68) 1978; 14 Reddy (10.1016/0263-8223(93)90230-N_BIB34) 1981; 13 Bert (10.1016/0263-8223(93)90230-N_BIB54) 1977; 50 Ahmed (10.1016/0263-8223(93)90230-N_BIB17) 1971; 18 Mallikarjuna (10.1016/0263-8223(93)90230-N_BIB100) 1989; 28 Leech (10.1016/0263-8223(93)90230-N_BIB106) 1965; 3 Bert (10.1016/0263-8223(93)90230-N_BIB30_2) 1976; 8 Kant (10.1016/0263-8223(93)90230-N_BIB86) 1982; 15 Reddy (10.1016/0263-8223(93)90230-N_BIB35) 1985; 17 Tsay (10.1016/0263-8223(93)90230-N_BIB49) 1978; 59 Lee (10.1016/0263-8223(93)90230-N_BIB105) 1969; 7 Ebcioglu (10.1016/0263-8223(93)90230-N_BIB129) 1964; 33 Akay (10.1016/0263-8223(93)90230-N_BIB114) 1980; 11 Moon (10.1016/0263-8223(93)90230-N_BIB116) 1973; 40 Srinivas (10.1016/0263-8223(93)90230-N_BIB76) 1970; 6 Kant (10.1016/0263-8223(93)90230-N_BIB101) 1989; 32 Mallikarjuna (10.1016/0263-8223(93)90230-N_BIB136) 1991; 38 Reddy (10.1016/0263-8223(93)90230-N_BIB83) 1984; 51 Bert (10.1016/0263-8223(93)90230-N_BIB55) 1978; 100 Putcha (10.1016/0263-8223(93)90230-N_BIB95) 1986; 104 Hinton (10.1016/0263-8223(93)90230-N_BIB110) 1975 Murthy (10.1016/0263-8223(93)90230-N_BIB82) 1981 Pandya (10.1016/0263-8223(93)90230-N_BIB87) 1987; 14 Bert (10.1016/0263-8223(93)90230-N_BIB29) 1974; 12
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Snippet	A critical review of literature pertinent to the subject matter of this paper was carried out under the following two broad headings: free vibration and...
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SubjectTerms	Dynamic response Dynamics Exact sciences and technology Fiber reinforced materials Finite element method Fundamental areas of phenomenology (including applications) Laminated composites Mathematical models Physics Plates (structural components) Sandwich structures Solid mechanics Structural and continuum mechanics Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...) Vibrations (mechanical)
Title	A critical review and some results of recently developed refined theories of fiber-reinforced laminated composites and sandwiches
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