taken load rotation constrained accurately shown super exercise unwanted estimate appropriate rate dramatically henceforth importance imposed penalty FIELDS sensed ear show lack even ltd 1973 ramesh immediately los thfc curiously already areaj subsequent beet square etc elasticity' recognize compromise fhi spuriaie choosing wa 1988 NAGANARAYANA 5981 met capture could representation both squilibrium posteriori hybrid would 2EI nodal adopted consistency third behind proced constituent 6MK spuriou expand approach equated self grateful QUADRATIC closely violated expanded correlate fortte appear paradigm1 usual area equation imply consistency—i INTRODUCTION necessary V012 natural extent ory four introduce selective flo linearly entire displace 4kgal emerging failure fonn quadrilateral pre intensitie action methods' bangalore finite numerical inconsistency author interpolation L2 act polation exact way recovery understanding description 2191 account alone ated correctly parameter relation investigate original picked laborat possible later 3la22 mk1' sampling length introduced variously under 45a22 kgal our distinct earlier preserved determined raju 462 notice group ine legendre end theory satisfy 4w2 ACKNOWLEDGEMENTS implement without than guiding uniformly isotropic follow zero reissner V9 'consistent' a3term order following after BM32 gradient quantitative india 2186 orthogonality difference integration whole new murthy 7a3 respectively develop undisturbed nding lql kirchhoft variable actual collocation actually generated 1990 special criteria describe 345 changed BM3 consistent IN eight integrate enforced obviou trend did disturbed method sought more prathap artifically eliminating most demonstrate had diminished lexible 30E again procedure explained part experiment fact seen plagued upon only ill alway structural disturb convergence 5b3 approache balanced consistent'—i meet into dependent traced MECHANISMS state PRATHAP violation john associated inroducing modify come least received paper uniform value displacement science y0l2 dbment choose tip M0 some applied function REFERENCES constant respect non fl0 mechanic aspect ciple keen variation M'03' rapidly accurate emerge cent 2L3 numer bending 2a2 know course behaviour variou VQ comprising deflection studie capitulate identically involved rce other LOAD term principle correctnes dimen view manner 2185 'field stres ways—e write curve elements' 1986 3la2 recdgjil 2195 well recent concentrated beam divided SUMMARY form thn give complementary equilibrium figure JV node NUMERICAL derived 3VQ vanish may 'consistently' elfl functional crucial 1992 thu int error now test produce 100 3QEI how their therefore having question multiplier far required conserving also distribution related but over consistency—toward pay andbm3 like include ha 17S08 activated precisely easy caused based 2197 made field such shape 2184 degree equivalent example june successfully mech STRESS evaluate ment inconsistencie son disturbance 6b2 represent element achieve domain use ensuring activating FORMULATIONS hughe arise la0 poorer F0 essential establish educative 2b2 established mean scope timoshenko discarding efficiency dictated effect quadratic 2g'8 2196 above noded thin play recommend constraint beading consistently 'on elaborate presence mutually fci type 2fe trigger worked 2194 context situation note there DERIVE 7qlv24 certain admissible varying directly CONCLUSIONS inter formulations' designing price should oscillation CD FLEXIBLE interest poor undesirable resulting think off known additional director traceable line 3—non result solution stated detail need 353 BM3'3 centroid per performed computed physical indicated although important JOURNAL owing comparison all transverse variationally total 202 sional 2183 1984 factor inertia ST8805 created complete fl2 studies2'3 froffl illy solely cubic continuity chosen modelled isoparametric revised basi remedial distributed modulu argument alternatively designed predict ql2 smoothed polynomial arrive slope they spurious' definition fli DOMAIN 6M2 disguised 2kgal attribute predicted suggest satisfied artificially media flt parasitic pick alternative multi variatioaal concerned variational reasonably principles—one conventional app subject sometime moment nism energy system OVER model national addition 5a3 constraining 2'3 constituted sefi rigorou CUBIC 560017 slow strictly kgal2 2182 VARIATIONALLY case regime 2189 encouragement AN integrated 2a3 2—non inconsistent STRAIN together originate CORRECT changing trace flatten tien ENGINEERING jctional yield resolved formulation examine achieved 3ql2 answer guideline INCONSISTENT smgte sarforceqora SHEAR couple proceed sense discretized physically violent EXPERIMENTS strain accepting thatfer determine force phenomenon expect presentation fit consideration several fl3 operator lead depart plate mechanism corresponding whose shear prominence engineering scheme work cros redistribution sho1i 15a smoothing 2kgal2 whether three rationalized reference OSCILLATIONS prediction two each discretization role comprise mixed 2b3 B2X kirchhoff excited limit available however da2 one violate incorrect brief METHODS year net ilk let 'assumed' laboratory considered 11992 will 0—field priori cause very converge omitting problem 2188 exactly grouping thereby iingle 0029 indeed dimensionles demand —orthogonally artificial BM fltp babu momif due V0 increased independent 'consistency intensity reflect mindlin VOL conform 2192 described same 2181 free operate explanation ited gaussian CONSISTENCY here 2w2 given ensure ding l5ei 4EI analysi iveusedsok ASME between convenient space orthogonally plausible kk3 offer TO 15b doe taking equivalence nmschanian reflected must conceptual using single SPURIOUS observe orthogonal arbitrarily clearly lost derivation freedom constitution unable within obtained addresse obtain exclusive ELEMENT neutralized response acted because condition 2fc3 level 24QEI cantilever sectional locking FIELD lqei kga varie confirm equal II longer hellinger used ST8801 true when correspondingly argue flu explore reveal eftect aeronautical shall further superimposition base change ASSUMED called kinematically consisted BM4 point assumed confirming ion gained bjl analytical membrane briefly found instead TM simo repeated appearing nearly 132181 while clear take loading linear irrespective generalized eng strategy purpose young' present BEAM see statement version either difficultie naganarayana correct comparing interpreted general flexible out projected INTERNATIONAL flfl seem simplest section extremely EI eiiqst ure ql3 acting EII unlike idealization WAY instance assign theorem forces—i correction substitute requirement wiley contribution head deformable completenes equilibrating cannot 3L2 not foundation remain division reduced SADHANA 20a3 before washizu gaining demonstrated structure